251120222021152 has 72 divisors (see below), whose sum is σ = 543453363255600. Its totient is φ = 114139312467840.

The previous prime is 251120222021143. The next prime is 251120222021183.

It is a happy number.

251120222021152 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×251120222021152² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 251120222021152.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69399099 + ... + 72927877.

It is an arithmetic number, because the mean of its divisors is an integer number (7547963378550).

Almost surely, 2^{251120222021152} is an apocalyptic number.

251120222021152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

251120222021152 is an abundant number, since it is smaller than the sum of its proper divisors (292333141234448).

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

251120222021152 is a wasteful number, since it uses less digits than its factorization.

251120222021152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3547190 (or 3547171 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

The spelling of 251120222021152 in words is "two hundred fifty-one trillion, one hundred twenty billion, two hundred twenty-two million, twenty-one thousand, one hundred fifty-two".