312323200332000 has 1536 divisors, whose sum is σ = 1214662105552896. Its totient is φ = 69160992768000.

The previous prime is 312323200331993. The next prime is 312323200332007. The reversal of 312323200332000 is 233002323213.

It is an interprime number because it is at equal distance from previous prime (312323200331993) and next prime (312323200332007).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312323200332007) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 65244033607 + ... + 65244038393.

It is an arithmetic number, because the mean of its divisors is an integer number (790795641636).

Almost surely, 2^{312323200332000} is an apocalyptic number.

312323200332000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312323200332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607331052776448).

312323200332000 is an abundant number, since it is smaller than the sum of its proper divisors (902338905220896).

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

312323200332000 is a wasteful number, since it uses less digits than its factorization.

312323200332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5229 (or 5211 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 312323200332000 its reverse (233002323213), we get a palindrome (312556202655213).

The spelling of 312323200332000 in words is "three hundred twelve trillion, three hundred twenty-three billion, two hundred million, three hundred thirty-two thousand".