251072120 has 64 divisors (see below), whose sum is σ = 621371520. Its totient is φ = 90722304.

The previous prime is 251072083. The next prime is 251072177. The reversal of 251072120 is 21270152.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 251072092 and 251072101.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 19304 + ... + 29576.

It is an arithmetic number, because the mean of its divisors is an integer number (9708930).

Almost surely, 2^251072120 is an apocalyptic number.

251072120 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 251072120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310685760).

251072120 is an abundant number, since it is smaller than the sum of its proper divisors (370299400).

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

251072120 is a wasteful number, since it uses less digits than its factorization.

251072120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10344 (or 10340 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 251072120 is about 15845.2554412985. The cubic root of 251072120 is about 630.8597650827.

The spelling of 251072120 in words is "two hundred fifty-one million, seventy-two thousand, one hundred twenty".