252122516002200 has 96 divisors (see below), whose sum is σ = 784485301222800. Its totient is φ = 66982735311360.

The previous prime is 252122516002169. The next prime is 252122516002207. The reversal of 252122516002200 is 2200615221252.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252122516002207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 780887287 + ... + 781210086.

Almost surely, 2^{252122516002200} is an apocalyptic number.

252122516002200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252122516002200 is an abundant number, since it is smaller than the sum of its proper divisors (532362785220600).

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

252122516002200 is a wasteful number, since it uses less digits than its factorization.

252122516002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1562097661 (or 1562097652 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 252122516002200 in words is "two hundred fifty-two trillion, one hundred twenty-two billion, five hundred sixteen million, two thousand, two hundred".