10205258125120 has 56 divisors (see below), whose sum is σ = 24528385674144. Its totient is φ = 4043952738816.

The previous prime is 10205258125099. The next prime is 10205258125133. The reversal of 10205258125120 is 2152185250201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148991142 + ... + 149059621.

Almost surely, 2^{10205258125120} is an apocalyptic number.

10205258125120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10205258125120 is an abundant number, since it is smaller than the sum of its proper divisors (14323127549024).

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

10205258125120 is a wasteful number, since it uses less digits than its factorization.

10205258125120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298050887 (or 298050877 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 34.

The spelling of 10205258125120 in words is "ten trillion, two hundred five billion, two hundred fifty-eight million, one hundred twenty-five thousand, one hundred twenty".