Search a number
-
+
120131121120320 = 2651951793815101
BaseRepresentation
bin11011010100001000110100…
…110011010000010001000000
3120202100102102101022002112002
4123110020310303100101000
5111221212014001322240
61103255250345323132
734206121112260652
oct3324106463202100
9522312371262462
10120131121120320
1135306360073662
12115822714964a8
1352054156684bb
14219453d3b46d2
15dd4d45b22d15
hex6d4234cd0440

120131121120320 has 112 divisors (see below), whose sum is σ = 301176360206400. Its totient is φ = 45514570291200.

The previous prime is 120131121120299. The next prime is 120131121120473. The reversal of 120131121120320 is 23021121131021.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 120131121120292 and 120131121120301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29580770 + ... + 33395870.

It is an arithmetic number, because the mean of its divisors is an integer number (2689074644700).

Almost surely, 2120131121120320 is an apocalyptic number.

120131121120320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120131121120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150588180103200).

120131121120320 is an abundant number, since it is smaller than the sum of its proper divisors (181045239086080).

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

120131121120320 is a wasteful number, since it uses less digits than its factorization.

120131121120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3820316 (or 3820306 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 120131121120320 its reverse (23021121131021), we get a palindrome (143152242251341).

The spelling of 120131121120320 in words is "one hundred twenty trillion, one hundred thirty-one billion, one hundred twenty-one million, one hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 320 380 608 760 1216 1520 3040 5179 6080 10358 20716 25895 41432 51790 82864 98401 103580 165728 196802 207160 331456 393604 414320 492005 787208 828640 984010 1574416 1657280 1968020 3148832 3815101 3936040 6297664 7630202 7872080 15260404 15744160 19075505 30520808 31488320 38151010 61041616 72486919 76302020 122083232 144973838 152604040 244166464 289947676 305208080 362434595 579895352 610416160 724869190 1159790704 1220832320 1449738380 2319581408 2899476760 4639162816 5798953520 11597907040 19758408079 23195814080 39516816158 79033632316 98792040395 158067264632 197584080790 316134529264 375409753501 395168161580 632269058528 750819507002 790336323160 1264538117056 1501639014004 1580672646320 1877048767505 3003278028008 3161345292640 3754097535010 6006556056016 6322690585280 7508195070020 12013112112032 15016390140040 24026224224064 30032780280080 60065560560160 120131121120320