253212011121200 has 120 divisors (see below), whose sum is σ = 644707508578560. Its totient is φ = 95240914432000.

The previous prime is 253212011121191. The next prime is 253212011121221. The reversal of 253212011121200 is 2121110212352.

253212011121200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9247376 + ... + 24329775.

It is an arithmetic number, because the mean of its divisors is an integer number (5372562571488).

Almost surely, 2^{253212011121200} is an apocalyptic number.

253212011121200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253212011121200 is an abundant number, since it is smaller than the sum of its proper divisors (391495497457360).

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

253212011121200 is a wasteful number, since it uses less digits than its factorization.

253212011121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33578295 (or 33578284 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

Adding to 253212011121200 its reverse (2121110212352), we get a palindrome (255333121333552).

The spelling of 253212011121200 in words is "two hundred fifty-three trillion, two hundred twelve billion, eleven million, one hundred twenty-one thousand, two hundred".