312100132320 has 192 divisors, whose sum is σ = 1103167356480. Its totient is φ = 82402560000.

The previous prime is 312100132319. The next prime is 312100132343. The reversal of 312100132320 is 23231001213.

312100132320 is a `hidden beast` number, since 3 + 1 + 210 + 0 + 132 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 312100132293 and 312100132302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78670 + ... + 793970.

It is an arithmetic number, because the mean of its divisors is an integer number (5745663315).

Almost surely, 2^312100132320 is an apocalyptic number.

312100132320 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 312100132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551583678240).

312100132320 is an abundant number, since it is smaller than the sum of its proper divisors (791067224160).

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

312100132320 is a wasteful number, since it uses less digits than its factorization.

312100132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715426 (or 715412 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 312100132320 its reverse (23231001213), we get a palindrome (335331133533).

The spelling of 312100132320 in words is "three hundred twelve billion, one hundred million, one hundred thirty-two thousand, three hundred twenty".