251222355120 has 80 divisors (see below), whose sum is σ = 849588337152. Its totient is φ = 60902388480.

The previous prime is 251222355119. The next prime is 251222355133. The reversal of 251222355120 is 21553222152.

251222355120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×251222355120² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47577352 + ... + 47582631.

Almost surely, 2^251222355120 is an apocalyptic number.

251222355120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

251222355120 is an abundant number, since it is smaller than the sum of its proper divisors (598365982032).

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

251222355120 is a wasteful number, since it uses less digits than its factorization.

251222355120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95160010 (or 95160004 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 251222355120 its reverse (21553222152), we get a palindrome (272775577272).

The spelling of 251222355120 in words is "two hundred fifty-one billion, two hundred twenty-two million, three hundred fifty-five thousand, one hundred twenty".