312300321132000 has 192 divisors, whose sum is σ = 1023221078949888. Its totient is φ = 83269892160000.

The previous prime is 312300321131983. The next prime is 312300321132001. The reversal of 312300321132000 is 231123003213.

It is a super-2 number, since 2×312300321132000² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312300321132001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96703365 + ... + 99880635.

It is an arithmetic number, because the mean of its divisors is an integer number (5329276452864).

Almost surely, 2^{312300321132000} is an apocalyptic number.

312300321132000 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 312300321132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511610539474944).

312300321132000 is an abundant number, since it is smaller than the sum of its proper divisors (710920757817888).

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

312300321132000 is a wasteful number, since it uses less digits than its factorization.

312300321132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3185490 (or 3185472 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 312300321132000 its reverse (231123003213), we get a palindrome (312531444135213).

The spelling of 312300321132000 in words is "three hundred twelve trillion, three hundred billion, three hundred twenty-one million, one hundred thirty-two thousand".