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212112110210112 = 263371773137103141
BaseRepresentation
bin110000001110101000110010…
…111110110100110001000000
31000211000201102122211220211000
4300032220302332310301000
5210300221100203210422
62031042542550252000
762451410553360540
oct6016506276646100
91024021378756730
10212112110210112
116164927150a362
121b9588b8657000
1391481173cc8a8
143a543d0b6d320
15197c7c9489cac
hexc0ea32fb4c40

212112110210112 has 896 divisors, whose sum is σ = 770499850798080. Its totient is φ = 55846022676480.

The previous prime is 212112110210111. The next prime is 212112110210159. The reversal of 212112110210112 is 211012011211212.

It is a happy number.

212112110210112 is a `hidden beast` number, since 21 + 211 + 2 + 110 + 210 + 112 = 666.

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 (212112110210111) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2056474062 + ... + 2056577202.

Almost surely, 2212112110210112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212112110210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385249925399040).

212112110210112 is an abundant number, since it is smaller than the sum of its proper divisors (558387740587968).

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

212112110210112 is a wasteful number, since it uses less digits than its factorization.

212112110210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103396 (or 103380 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 212112110210112 its reverse (211012011211212), we get a palindrome (423124121421324).

The spelling of 212112110210112 in words is "two hundred twelve trillion, one hundred twelve billion, one hundred ten million, two hundred ten thousand, one hundred twelve".