251342120 has 32 divisors (see below), whose sum is σ = 565979400. Its totient is φ = 100455168.

The previous prime is 251342111. The next prime is 251342129. The reversal of 251342120 is 21243152.

It is an interprime number because it is at equal distance from previous prime (251342111) and next prime (251342129).

It can be written as a sum of positive squares in 4 ways, for example, as 201583204 + 49758916 = 14198^2 + 7054^2 .

It is a super-2 number, since 2×251342120² = 126345722572188800, which contains 22 as substring.

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 = 251342092 and 251342101.

It is not an unprimeable number, because it can be changed into a prime (251342129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81242 + ... + 84278.

Almost surely, 2^251342120 is an apocalyptic number.

251342120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

251342120 is an abundant number, since it is smaller than the sum of its proper divisors (314637280).

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

251342120 is a wasteful number, since it uses less digits than its factorization.

251342120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5117 (or 5113 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 251342120 is about 15853.7730524945. The cubic root of 251342120 is about 631.0858237882.

Adding to 251342120 its reverse (21243152), we get a palindrome (272585272).

The spelling of 251342120 in words is "two hundred fifty-one million, three hundred forty-two thousand, one hundred twenty".