312132102120 has 192 divisors, whose sum is σ = 1046406114000. Its totient is φ = 80631189504.

The previous prime is 312132102109. The next prime is 312132102137. The reversal of 312132102120 is 21201231213.

312132102120 is a `hidden beast` number, since 31 + 213 + 210 + 212 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 240454891044 + 71677211076 = 490362^2 + 267726^2 .

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 = 312132102093 and 312132102102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2999116 + ... + 3101444.

Almost surely, 2^312132102120 is an apocalyptic number.

312132102120 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 312132102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523203057000).

312132102120 is an abundant number, since it is smaller than the sum of its proper divisors (734274011880).

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

312132102120 is a wasteful number, since it uses less digits than its factorization.

312132102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102612 (or 102605 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 312132102120 its reverse (21201231213), we get a palindrome (333333333333).

The spelling of 312132102120 in words is "three hundred twelve billion, one hundred thirty-two million, one hundred two thousand, one hundred twenty".