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212112222211212 = 223176831522351091
BaseRepresentation
bin110000001110101000111001…
…101010000100110010001100
31000211000201201110121011102220
4300032220321222010302030
5210300221312341224322
62031043002031015340
762451413413355421
oct6016507152046214
91024021643534386
10212112222211212
1161649319758454
121b95892a06a550
139148134685a2b
143a544019a5d48
15197c7d421055c
hexc0ea39a84c8c

212112222211212 has 48 divisors (see below), whose sum is σ = 524809226051712. Its totient is φ = 66447580376320.

The previous prime is 212112222211187. The next prime is 212112222211213.

212112222211212 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2121122222112122 (a number of 29 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (212112222211213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 761036214 + ... + 761314877.

It is an arithmetic number, because the mean of its divisors is an integer number (10933525542744).

Almost surely, 2212112222211212 is an apocalyptic number.

It is an amenable number.

212112222211212 is an abundant number, since it is smaller than the sum of its proper divisors (312697003840500).

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

212112222211212 is a wasteful number, since it uses less digits than its factorization.

212112222211212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1522351798 (or 1522351796 counting only the distinct ones).

The product of its digits is 512, while the sum is 24.

The spelling of 212112222211212 in words is "two hundred twelve trillion, one hundred twelve billion, two hundred twenty-two million, two hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 683 1366 2049 2732 4098 8196 11611 23222 34833 46444 69666 139332 1522351091 3044702182 4567053273 6089404364 9134106546 18268213092 25879968547 51759937094 77639905641 103519874188 155279811282 310559622564 1039765795153 2079531590306 3119297385459 4159063180612 6238594770918 12477189541836 17676018517601 35352037035202 53028055552803 70704074070404 106056111105606 212112222211212