251120 has 40 divisors (see below), whose sum is σ = 605616. Its totient is φ = 96768.

The previous prime is 251117. The next prime is 251143. The reversal of 251120 is 21152.

251120 is digitally balanced in base 3, 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 (40).

It is a super-2 number, since 2×251120² = 126122508800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3404 + ... + 3476.

2²⁵¹¹²⁰ is an apocalyptic number.

251120 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 251120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302808).

251120 is an abundant number, since it is smaller than the sum of its proper divisors (354496).

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

251120 is a wasteful number, since it uses less digits than its factorization.

251120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 251120 is about 501.1187484020. The cubic root of 251120 is about 63.0899864644.

Adding to 251120 its reverse (21152), we get a palindrome (272272).

The spelling of 251120 in words is "two hundred fifty-one thousand, one hundred twenty".