312012303040100 has 144 divisors (see below), whose sum is σ = 746125721022528. Its totient is φ = 112522347624960.

The previous prime is 312012303039953. The next prime is 312012303040181. The reversal of 312012303040100 is 1040303210213.

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

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, 3894904247 + ... + 3894984353.

It is an arithmetic number, because the mean of its divisors is an integer number (5181428618212).

Almost surely, 2^{312012303040100} 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 312012303040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373062860511264).

312012303040100 is an abundant number, since it is smaller than the sum of its proper divisors (434113417982428).

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

312012303040100 is a wasteful number, since it uses less digits than its factorization.

312012303040100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149854 (or 149847 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 312012303040100 its reverse (1040303210213), we get a palindrome (313052606250313).

The spelling of 312012303040100 in words is "three hundred twelve trillion, twelve billion, three hundred three million, forty thousand, one hundred".