252002253440120 has 64 divisors (see below), whose sum is σ = 574211393971200. Its totient is φ = 99519906245760.

The previous prime is 252002253440107. The next prime is 252002253440167. The reversal of 252002253440120 is 21044352200252.

It is a super-3 number, since 3×252002253440120³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60772685 + ... + 64786755.

It is an arithmetic number, because the mean of its divisors is an integer number (8972053030800).

Almost surely, 2^{252002253440120} is an apocalyptic number.

252002253440120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252002253440120 is an abundant number, since it is smaller than the sum of its proper divisors (322209140531080).

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

252002253440120 is a wasteful number, since it uses less digits than its factorization.

252002253440120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4034028 (or 4034024 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

The spelling of 252002253440120 in words is "two hundred fifty-two trillion, two billion, two hundred fifty-three million, four hundred forty thousand, one hundred twenty".