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212121010022112 = 2532736531284799
BaseRepresentation
bin110000001110110001000101…
…011100111010011011100000
31000211001120101220102012201200
4300032301011130322123200
5210300342312031201422
62031051014032201200
762452144241464362
oct6016610534723340
91024046356365650
10212121010022112
11616520191a0894
121b95a581099200
139148c051a1939
143a549d6b44d32
15197cb4a9762ac
hexc0ec4573a6e0

212121010022112 has 36 divisors (see below), whose sum is σ = 603219122251200. Its totient is φ = 70707003340608.

The previous prime is 212121010022083. The next prime is 212121010022149. The reversal of 212121010022112 is 211220010121212.

212121010022112 is a `hidden beast` number, since 2 + 121 + 210 + 100 + 221 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×2121210100221123 (a number of 44 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 368265642112 + ... + 368265642687.

It is an arithmetic number, because the mean of its divisors is an integer number (16756086729200).

Almost surely, 2212121010022112 is an apocalyptic number.

It is an amenable number.

212121010022112 is an abundant number, since it is smaller than the sum of its proper divisors (391098112229088).

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

212121010022112 is a wasteful number, since it uses less digits than its factorization.

212121010022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736531284815 (or 736531284804 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212121010022112 its reverse (211220010121212), we get a palindrome (423341020143324).

The spelling of 212121010022112 in words is "two hundred twelve trillion, one hundred twenty-one billion, ten million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 736531284799 1473062569598 2209593854397 2946125139196 4419187708794 5892250278392 6628781563191 8838375417588 11784500556784 13257563126382 17676750835176 23569001113568 26515126252764 35353501670352 53030252505528 70707003340704 106060505011056 212121010022112