312100320 has 192 divisors, whose sum is σ = 1162667520. Its totient is φ = 68855808.

The previous prime is 312100307. The next prime is 312100333. The reversal of 312100320 is 23001213.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (312100307) and next prime (312100333).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 312100296 and 312100305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95839 + ... + 99041.

It is an arithmetic number, because the mean of its divisors is an integer number (6055560).

Almost surely, 2^312100320 is an apocalyptic number.

312100320 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 312100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581333760).

312100320 is an abundant number, since it is smaller than the sum of its proper divisors (850567200).

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

312100320 is a wasteful number, since it uses less digits than its factorization.

312100320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3257 (or 3249 counting only the distinct ones).

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

The square root of 312100320 is about 17666.3612552217. The cubic root of 312100320 is about 678.3149744736.

Adding to 312100320 its reverse (23001213), we get a palindrome (335101533).

The spelling of 312100320 in words is "three hundred twelve million, one hundred thousand, three hundred twenty".