312112200 has 96 divisors (see below), whose sum is σ = 970250400. Its totient is φ = 82997760.

The previous prime is 312112193. The next prime is 312112201. The reversal of 312112200 is 2211213.

312112200 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 (12).

It is not an unprimeable number, because it can be changed into a prime (312112201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 385396 + ... + 386204.

It is an arithmetic number, because the mean of its divisors is an integer number (10106775).

Almost surely, 2^312112200 is an apocalyptic number.

312112200 is a gapful number since it is divisible by the number (30) 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 312112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485125200).

312112200 is an abundant number, since it is smaller than the sum of its proper divisors (658138200).

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

312112200 is a wasteful number, since it uses less digits than its factorization.

312112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 312112200 is about 17666.6974842499. The cubic root of 312112200 is about 678.3235809794.

Adding to 312112200 its reverse (2211213), we get a palindrome (314323413).

It can be divided in two parts, 31211 and 2200, that added together give a triangular number (33411 = T₂₅₈).

The spelling of 312112200 in words is "three hundred twelve million, one hundred twelve thousand, two hundred".