251132120 has 64 divisors (see below), whose sum is σ = 604648800. Its totient is φ = 93588480.

The previous prime is 251132117. The next prime is 251132129. The reversal of 251132120 is 21231152.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251132129) by changing a digit.

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, 43652 + ... + 49068.

Almost surely, 2^251132120 is an apocalyptic number.

251132120 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 251132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302324400).

251132120 is an abundant number, since it is smaller than the sum of its proper divisors (353516680).

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

251132120 is a wasteful number, since it uses less digits than its factorization.

251132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5508 (or 5504 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 251132120 is about 15847.1486394241. The cubic root of 251132120 is about 630.9100143512.

Adding to 251132120 its reverse (21231152), we get a palindrome (272363272).

The spelling of 251132120 in words is "two hundred fifty-one million, one hundred thirty-two thousand, one hundred twenty".