312133400 has 48 divisors (see below), whose sum is σ = 735685800. Its totient is φ = 123137280.

The previous prime is 312133357. The next prime is 312133403. The reversal of 312133400 is 4331213.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312133403) 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 11 ways as a sum of consecutive naturals, for example, 3911 + ... + 25289.

Almost surely, 2^312133400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312133400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367842900).

312133400 is an abundant number, since it is smaller than the sum of its proper divisors (423552400).

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

312133400 is a wasteful number, since it uses less digits than its factorization.

312133400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21468 (or 21459 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 312133400 is about 17667.2974730149. The cubic root of 312133400 is about 678.3389388479.

Adding to 312133400 its reverse (4331213), we get a palindrome (316464613).

The spelling of 312133400 in words is "three hundred twelve million, one hundred thirty-three thousand, four hundred".