312132100000 has 288 divisors, whose sum is σ = 883927924992. Its totient is φ = 106272000000.

The previous prime is 312132099967. The next prime is 312132100001. The reversal of 312132100000 is 1231213.

It is not an unprimeable number, because it can be changed into a prime (312132100001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105698524 + ... + 105701476.

It is an arithmetic number, because the mean of its divisors is an integer number (3069194184).

Almost surely, 2^312132100000 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 312132100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441963962496).

312132100000 is an abundant number, since it is smaller than the sum of its proper divisors (571795824992).

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

312132100000 is an equidigital number, since it uses as much as digits as its factorization.

312132100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3146 (or 3118 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 312132100000 its reverse (1231213), we get a palindrome (312133331213).

The spelling of 312132100000 in words is "three hundred twelve billion, one hundred thirty-two million, one hundred thousand".