312132120030090 has 96 divisors (see below), whose sum is σ = 815766108814800. Its totient is φ = 82802750515200.

The previous prime is 312132120030089. The next prime is 312132120030131. The reversal of 312132120030090 is 90030021231213.

312132120030090 is a `hidden beast` number, since 3 + 1 + 21 + 321 + 200 + 30 + 0 + 90 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 212531700070089 + 99600419960001 = 14578467^2 + 9980001^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18447576 + ... + 31057644.

Almost surely, 2^{312132120030090} is an apocalyptic number.

312132120030090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 312132120030090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407883054407400).

312132120030090 is an abundant number, since it is smaller than the sum of its proper divisors (503633988784710).

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

312132120030090 is a wasteful number, since it uses less digits than its factorization.

312132120030090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12611512 (or 12611509 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 312132120030090 in words is "three hundred twelve trillion, one hundred thirty-two billion, one hundred twenty million, thirty thousand, ninety".