251120200 has 24 divisors (see below), whose sum is σ = 583854930. Its totient is φ = 100448000.

The previous prime is 251120197. The next prime is 251120227. The reversal of 251120200 is 2021152.

It can be written as a sum of positive squares in 3 ways, for example, as 180257476 + 70862724 = 13426^2 + 8418^2 .

It is a super-2 number, since 2×251120200² = 126122709696080000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 627601 + ... + 628000.

Almost surely, 2^251120200 is an apocalyptic number.

251120200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

251120200 is an abundant number, since it is smaller than the sum of its proper divisors (332734730).

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

251120200 is a wasteful number, since it uses less digits than its factorization.

251120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255617 (or 1255608 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 251120200 is about 15846.7725420667. The cubic root of 251120200 is about 630.9000321337.

Adding to 251120200 its reverse (2021152), we get a palindrome (253141352).

The spelling of 251120200 in words is "two hundred fifty-one million, one hundred twenty thousand, two hundred".