311142120 has 32 divisors (see below), whose sum is σ = 933426720. Its totient is φ = 82971200.

The previous prime is 311142113. The next prime is 311142121. The reversal of 311142120 is 21241113.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 311142120.

It is not an unprimeable number, because it can be changed into a prime (311142121) 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, 1296306 + ... + 1296545.

It is an arithmetic number, because the mean of its divisors is an integer number (29169585).

Almost surely, 2^311142120 is an apocalyptic number.

311142120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

311142120 is an abundant number, since it is smaller than the sum of its proper divisors (622284600).

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

311142120 is a wasteful number, since it uses less digits than its factorization.

311142120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2592865 (or 2592861 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 311142120 is about 17639.2210712378. The cubic root of 311142120 is about 677.6200828346.

Adding to 311142120 its reverse (21241113), we get a palindrome (332383233).

The spelling of 311142120 in words is "three hundred eleven million, one hundred forty-two thousand, one hundred twenty".