312779124 has 96 divisors (see below), whose sum is σ = 981308160. Its totient is φ = 84105216.

The previous prime is 312779111. The next prime is 312779149. The reversal of 312779124 is 421977213.

312779124 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 684 + ... + 25020.

It is an arithmetic number, because the mean of its divisors is an integer number (10221960).

Almost surely, 2^312779124 is an apocalyptic number.

312779124 is a gapful number since it is divisible by the number (34) 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 312779124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490654080).

312779124 is an abundant number, since it is smaller than the sum of its proper divisors (668529036).

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

312779124 is a wasteful number, since it uses less digits than its factorization.

312779124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24374 (or 24366 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 312779124 is about 17685.5625864715. The cubic root of 312779124 is about 678.8063864514.

It can be divided in two parts, 31277 and 9124, that added together give a square (40401 = 201²).

The spelling of 312779124 in words is "three hundred twelve million, seven hundred seventy-nine thousand, one hundred twenty-four".