312111014132000 has 96 divisors (see below), whose sum is σ = 766950807967344. Its totient is φ = 124829094912000.

The previous prime is 312111014131981. The next prime is 312111014132009. The reversal of 312111014132000 is 231410111213.

It can be written as a sum of positive squares in 8 ways, for example, as 20507167338256 + 291603846793744 = 4528484^2 + 17076412^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (312111014132009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 27863474 + ... + 37424526.

Almost surely, 2^{312111014132000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312111014132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383475403983672).

312111014132000 is an abundant number, since it is smaller than the sum of its proper divisors (454839793835344).

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

312111014132000 is an equidigital number, since it uses as much as digits as its factorization.

312111014132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9569239 (or 9569221 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 312111014132000 its reverse (231410111213), we get a palindrome (312342424243213).

The spelling of 312111014132000 in words is "three hundred twelve trillion, one hundred eleven billion, fourteen million, one hundred thirty-two thousand".