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212012112100122 = 232102891144761461
BaseRepresentation
bin110000001101001011101010…
…101000010011101100011010
31000210200011022121202121011200
4300031023222220103230122
5210242101301144200442
62030525004131535030
762441240531433345
oct6015135250235432
91023604277677150
10212012112100122
116160a917155254
121b94144b45a476
13913b86c1024c9
143a4d62608145c
151979dc54c534c
hexc0d2eaa13b1a

212012112100122 has 24 divisors (see below), whose sum is σ = 459404222315220. Its totient is φ = 70663835402880.

The previous prime is 212012112100111. The next prime is 212012112100169. The reversal of 212012112100122 is 221001211210212.

212012112100122 is a `hidden beast` number, since 2 + 120 + 1 + 211 + 210 + 0 + 122 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 192067751040201 + 19944361059921 = 13858851^2 + 4465911^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 212012112100095 and 212012112100104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 572195529 + ... + 572565932.

Almost surely, 2212012112100122 is an apocalyptic number.

212012112100122 is an abundant number, since it is smaller than the sum of its proper divisors (247392110215098).

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

212012112100122 is a wasteful number, since it uses less digits than its factorization.

212012112100122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144771758 (or 1144771755 counting only the distinct ones).

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

Adding to 212012112100122 its reverse (221001211210212), we get a palindrome (433013323310334).

The spelling of 212012112100122 in words is "two hundred twelve trillion, twelve billion, one hundred twelve million, one hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 10289 20578 30867 61734 92601 185202 1144761461 2289522922 3434284383 6868568766 10302853149 20605706298 11778450672229 23556901344458 35335352016687 70670704033374 106006056050061 212012112100122