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212102002022112 = 2532736465284799
BaseRepresentation
bin110000001110011111011000…
…011111001001011011100000
31000210222202100012111202122200
4300032133120133021123200
5210300034400004201422
62031034151540533200
762450602223241636
oct6016373037113340
91023882305452580
10212102002022112
1161644a54721084
121b9569573b1200
139147196192a67
143a53b124c7356
15197c3d6d5b2ac
hexc0e7d87c96e0

212102002022112 has 36 divisors (see below), whose sum is σ = 603165068251200. Its totient is φ = 70700667340608.

The previous prime is 212102002022107. The next prime is 212102002022117. The reversal of 212102002022112 is 211220200201212.

It is a happy number.

212102002022112 is a `hidden beast` number, since 2 + 1 + 210 + 200 + 20 + 221 + 12 = 666.

212102002022112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212102002022107) and next prime (212102002022117).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212102002022117) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 368232642112 + ... + 368232642687.

It is an arithmetic number, because the mean of its divisors is an integer number (16754585229200).

Almost surely, 2212102002022112 is an apocalyptic number.

It is an amenable number.

212102002022112 is an abundant number, since it is smaller than the sum of its proper divisors (391063066229088).

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

212102002022112 is a wasteful number, since it uses less digits than its factorization.

212102002022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736465284815 (or 736465284804 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212102002022112 its reverse (211220200201212), we get a palindrome (423322202223324).

The spelling of 212102002022112 in words is "two hundred twelve trillion, one hundred two billion, two 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 736465284799 1472930569598 2209395854397 2945861139196 4418791708794 5891722278392 6628187563191 8837583417588 11783444556784 13256375126382 17675166835176 23566889113568 26512750252764 35350333670352 53025500505528 70700667340704 106051001011056 212102002022112