312111520 has 48 divisors (see below), whose sum is σ = 842704128. Its totient is φ = 107009280.

The previous prime is 312111497. The next prime is 312111523. The reversal of 312111520 is 25111213.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 312111494 and 312111503.

It is not an unprimeable number, because it can be changed into a prime (312111523) 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, 138216 + ... + 140455.

It is an arithmetic number, because the mean of its divisors is an integer number (17556336).

Almost surely, 2^312111520 is an apocalyptic number.

It is an amenable number.

312111520 is an abundant number, since it is smaller than the sum of its proper divisors (530592608).

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

312111520 is a wasteful number, since it uses less digits than its factorization.

312111520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278693 (or 278685 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 312111520 is about 17666.6782389899. The cubic root of 312111520 is about 678.3230883571.

Adding to 312111520 its reverse (25111213), we get a palindrome (337222733).

It can be divided in two parts, 3121 and 11520, that added together give a palindrome (14641).

The spelling of 312111520 in words is "three hundred twelve million, one hundred eleven thousand, five hundred twenty".