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121340331442224 = 24331731818970089
BaseRepresentation
bin11011100101101110111111…
…010110100100000000110000
3120220122000121022212000221000
4123211232333112210000300
5111401014444322122344
61110022551223202000
734362356346362316
oct3345567726440060
9526560538760830
10121340331442224
1135732166843934
121173869b5a6300
135292462162a0b
1421d6c90c220b6
15e065191d2a69
hex6e5bbf5a4030

121340331442224 has 160 divisors (see below), whose sum is σ = 352240364548800. Its totient is φ = 39990805125120.

The previous prime is 121340331442207. The next prime is 121340331442459. The reversal of 121340331442224 is 422244133043121.

121340331442224 is a `hidden beast` number, since 1 + 2 + 13 + 403 + 3 + 14 + 4 + 2 + 224 = 666.

121340331442224 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9042172 + ... + 18012260.

It is an arithmetic number, because the mean of its divisors is an integer number (2201502278430).

Almost surely, 2121340331442224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121340331442224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176120182274400).

121340331442224 is an abundant number, since it is smaller than the sum of its proper divisors (230900033106576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121340331442224 is a wasteful number, since it uses less digits than its factorization.

121340331442224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8970460 (or 8970448 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 121340331442224 its reverse (422244133043121), we get a palindrome (543584464485345).

The spelling of 121340331442224 in words is "one hundred twenty-one trillion, three hundred forty billion, three hundred thirty-one million, four hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 173 181 216 346 362 432 519 543 692 724 1038 1086 1384 1448 1557 1629 2076 2172 2768 2896 3114 3258 4152 4344 4671 4887 6228 6516 8304 8688 9342 9774 12456 13032 18684 19548 24912 26064 31313 37368 39096 62626 74736 78192 93939 125252 187878 250504 281817 375756 501008 563634 751512 845451 1127268 1503024 1690902 2254536 3381804 4509072 6763608 8970089 13527216 17940178 26910267 35880356 53820534 71760712 80730801 107641068 143521424 161461602 215282136 242192403 322923204 430564272 484384806 645846408 968769612 1291692816 1551825397 1623586109 1937539224 3103650794 3247172218 3875078448 4655476191 4870758327 6207301588 6494344436 9310952382 9741516654 12414603176 12988688872 13966428573 14612274981 18621904764 19483033308 24829206352 25977377744 27932857146 29224549962 37243809528 38966066616 41899285719 43836824943 55865714292 58449099924 74487619056 77932133232 83798571438 87673649886 111731428584 116898199848 167597142876 175347299772 223462857168 233796399696 280880396857 335194285752 350694599544 561760793714 670388571504 701389199088 842641190571 1123521587428 1685282381142 2247043174856 2527923571713 3370564762284 4494086349712 5055847143426 6741129524568 7583770715139 10111694286852 13482259049136 15167541430278 20223388573704 30335082860556 40446777147408 60670165721112 121340331442224