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121032011220012 = 223231911937127051
BaseRepresentation
bin11011100001001111110110…
…000010010000010000101100
3120212112112202221221220222200
4123201033312002100100230
5111330442024333020022
61105225201030541500
734331163031624224
oct3341176602202054
9525475687856880
10121032011220012
113562342a043532
12116a8993807890
13526c3676628c9
1421c5da2a9b084
15ded4c1372bac
hex6e13f609042c

121032011220012 has 144 divisors (see below), whose sum is σ = 316497696313344. Its totient is φ = 38957798880000.

The previous prime is 121032011219983. The next prime is 121032011220017. The reversal of 121032011220012 is 210022110230121.

121032011220012 is a `hidden beast` number, since 1 + 21 + 0 + 320 + 112 + 200 + 12 = 666.

It is a super-2 number, since 2×1210320112200122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (121032011220017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 952561887 + ... + 952688937.

Almost surely, 2121032011220012 is an apocalyptic number.

121032011220012 is a gapful number since it is divisible by the number (12) 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 121032011220012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158248848156672).

121032011220012 is an abundant number, since it is smaller than the sum of its proper divisors (195465685093332).

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

121032011220012 is a wasteful number, since it uses less digits than its factorization.

121032011220012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128940 (or 128935 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 121032011220012 its reverse (210022110230121), we get a palindrome (331054121450133).

The spelling of 121032011220012 in words is "one hundred twenty-one trillion, thirty-two billion, eleven million, two hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 911 937 1116 1822 1874 2733 2811 3644 3748 5466 5622 8199 8433 10932 11244 16398 16866 28241 29047 32796 33732 56482 58094 84723 87141 112964 116188 127051 169446 174282 254102 254169 261423 338892 348564 381153 508204 508338 522846 762306 853607 1016676 1045692 1143459 1524612 1707214 2286918 2560821 3414428 3938581 4573836 5121642 7682463 7877162 10243284 11815743 15364926 15754324 23631486 26461817 30729852 35447229 47262972 52923634 70894458 79385451 105847268 115743461 119046787 141788916 158770902 231486922 238093574 238156353 317541804 347230383 357140361 462973844 476187148 476312706 694460766 714280722 952625412 1041691149 1071421083 1388921532 1428561444 2083382298 2142842166 3588047291 3690450397 4166764596 4285684332 7176094582 7380900794 10764141873 11071351191 14352189164 14761801588 21528283746 22142702382 32292425619 33214053573 43056567492 44285404764 64584851238 66428107146 108451622957 129169702476 132856214292 216903245914 325354868871 433806491828 650709737742 976064606613 1301419475484 1952129213226 3362000311667 3904258426452 6724000623334 10086000935001 13448001246668 20172001870002 30258002805003 40344003740004 60516005610006 121032011220012