312132120010000 has 50 divisors (see below), whose sum is σ = 755703075780422. Its totient is φ = 124852848000000.

The previous prime is 312132120009973. The next prime is 312132120010031. The reversal of 312132120010000 is 10021231213.

It can be written as a sum of positive squares in 5 ways, for example, as 90557225016336 + 221574894993664 = 9516156^2 + 14885392^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 15606596001 + ... + 15606616000.

Almost surely, 2^{312132120010000} is an apocalyptic number.

It is an amenable number.

312132120010000 is an abundant number, since it is smaller than the sum of its proper divisors (443570955770422).

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

312132120010000 is an equidigital number, since it uses as much as digits as its factorization.

312132120010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31213212029 (or 31213212008 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 312132120010000 its reverse (10021231213), we get a palindrome (312142141241213).

The spelling of 312132120010000 in words is "three hundred twelve trillion, one hundred thirty-two billion, one hundred twenty million, ten thousand".