205314102972612 has 144 divisors (see below), whose sum is σ = 560241811059840. Its totient is φ = 63203513877504.

The previous prime is 205314102972593. The next prime is 205314102972631. The reversal of 205314102972612 is 216279201413502.

205314102972612 is a `hidden beast` number, since 2 + 0 + 5 + 3 + 1 + 4 + 1 + 0 + 29 + 7 + 2 + 612 = 666.

205314102972612 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 (205314102972593) and next prime (205314102972631).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1209231468 + ... + 1209401244.

It is an arithmetic number, because the mean of its divisors is an integer number (3890568132360).

Almost surely, 2^{205314102972612} 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 205314102972612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280120905529920).

205314102972612 is an abundant number, since it is smaller than the sum of its proper divisors (354927708087228).

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

205314102972612 is a wasteful number, since it uses less digits than its factorization.

205314102972612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220202 (or 220197 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 205314102972612 in words is "two hundred five trillion, three hundred fourteen billion, one hundred two million, nine hundred seventy-two thousand, six hundred twelve".