312112032 has 48 divisors (see below), whose sum is σ = 820203552. Its totient is φ = 103921920.

The previous prime is 312111977. The next prime is 312112033. The reversal of 312112032 is 230211213.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (312112033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 166782 + ... + 168642.

It is an arithmetic number, because the mean of its divisors is an integer number (17087574).

Almost surely, 2^312112032 is an apocalyptic number.

312112032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

312112032 is an abundant number, since it is smaller than the sum of its proper divisors (508091520).

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

312112032 is a wasteful number, since it uses less digits than its factorization.

312112032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3621 (or 3613 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 312112032 is about 17666.6927295405. The cubic root of 312112032 is about 678.3234592728.

Adding to 312112032 its reverse (230211213), we get a palindrome (542323245).

The spelling of 312112032 in words is "three hundred twelve million, one hundred twelve thousand, thirty-two".