312186112 has 144 divisors (see below), whose sum is σ = 768216960. Its totient is φ = 123641856.

The previous prime is 312186109. The next prime is 312186143. The reversal of 312186112 is 211681213.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1804458 + ... + 1804630.

It is an arithmetic number, because the mean of its divisors is an integer number (5334840).

Almost surely, 2^312186112 is an apocalyptic number.

312186112 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 312186112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384108480).

312186112 is an abundant number, since it is smaller than the sum of its proper divisors (456030848).

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

312186112 is a wasteful number, since it uses less digits than its factorization.

312186112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 254 counting only the distinct ones).

The product of its digits is 576, while the sum is 25.

The square root of 312186112 is about 17668.7892058285. The cubic root of 312186112 is about 678.3771218700.

The spelling of 312186112 in words is "three hundred twelve million, one hundred eighty-six thousand, one hundred twelve".