312661152 has 72 divisors (see below), whose sum is σ = 891596160. Its totient is φ = 103931520.

The previous prime is 312661099. The next prime is 312661157. The reversal of 312661152 is 251166213.

312661152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (312661157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119377 + ... + 121967.

It is an arithmetic number, because the mean of its divisors is an integer number (12383280).

Almost surely, 2^312661152 is an apocalyptic number.

312661152 is a gapful number since it is divisible by the number (32) 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 312661152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445798080).

312661152 is an abundant number, since it is smaller than the sum of its proper divisors (578935008).

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

312661152 is a wasteful number, since it uses less digits than its factorization.

312661152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3026 (or 3015 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 312661152 is about 17682.2270090620. The cubic root of 312661152 is about 678.7210331238.

The spelling of 312661152 in words is "three hundred twelve million, six hundred sixty-one thousand, one hundred fifty-two".