312032100 has 72 divisors (see below), whose sum is σ = 927246208. Its totient is φ = 80956800.

The previous prime is 312032057. The next prime is 312032111. The reversal of 312032100 is 1230213.

It is a happy number.

312032100 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2956 + ... + 25155.

Almost surely, 2^312032100 is an apocalyptic number.

312032100 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 312032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463623104).

312032100 is an abundant number, since it is smaller than the sum of its proper divisors (615214108).

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

312032100 is a wasteful number, since it uses less digits than its factorization.

312032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28165 (or 28158 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 312032100 is about 17664.4303616052. The cubic root of 312032100 is about 678.2655480375.

Adding to 312032100 its reverse (1230213), we get a palindrome (313262313).

The spelling of 312032100 in words is "three hundred twelve million, thirty-two thousand, one hundred".