312100400 has 60 divisors (see below), whose sum is σ = 762172944. Its totient is φ = 122784000.

The previous prime is 312100391. The next prime is 312100421. The reversal of 312100400 is 4001213.

It is a happy 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 11 ways as a sum of consecutive naturals, for example, 18005 + ... + 30795.

Almost surely, 2^312100400 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 312100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381086472).

312100400 is an abundant number, since it is smaller than the sum of its proper divisors (450072544).

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

312100400 is a wasteful number, since it uses less digits than its factorization.

312100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12870 (or 12859 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 312100400 is about 17666.3635194117. The cubic root of 312100400 is about 678.3150324306.

Adding to 312100400 its reverse (4001213), we get a palindrome (316101613).

The spelling of 312100400 in words is "three hundred twelve million, one hundred thousand, four hundred".