251063226120 has 256 divisors, whose sum is σ = 920124334080. Its totient is φ = 53551872000.

The previous prime is 251063226109. The next prime is 251063226149. The reversal of 251063226120 is 21622360152.

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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 633645 + ... + 950595.

It is an arithmetic number, because the mean of its divisors is an integer number (3594235680).

Almost surely, 2^251063226120 is an apocalyptic number.

251063226120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 251063226120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460062167040).

251063226120 is an abundant number, since it is smaller than the sum of its proper divisors (669061107960).

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

251063226120 is a wasteful number, since it uses less digits than its factorization.

251063226120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317036 (or 317032 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 251063226120 its reverse (21622360152), we get a palindrome (272685586272).

The spelling of 251063226120 in words is "two hundred fifty-one billion, sixty-three million, two hundred twenty-six thousand, one hundred twenty".