312100100000 has 288 divisors, whose sum is σ = 835627735152. Its totient is φ = 114048000000.

The previous prime is 312100099957. The next prime is 312100100003. The reversal of 312100100000 is 1001213.

It can be written as a sum of positive squares in 24 ways, for example, as 246623478544 + 65476621456 = 496612^2 + 255884^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (312100100003) 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, 131298812 + ... + 131301188.

Almost surely, 2^312100100000 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 312100100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417813867576).

312100100000 is an abundant number, since it is smaller than the sum of its proper divisors (523527635152).

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

312100100000 is a wasteful number, since it uses less digits than its factorization.

312100100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2526 (or 2498 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 312100100000 its reverse (1001213), we get a palindrome (312101101213).

The spelling of 312100100000 in words is "three hundred twelve billion, one hundred million, one hundred thousand".