312231210000000 has 1024 divisors, whose sum is σ = 1087741152875520. Its totient is φ = 79202816000000.

The previous prime is 312231209999971. The next prime is 312231210000029. The reversal of 312231210000000 is 12132213.

It is an interprime number because it is at equal distance from previous prime (312231209999971) and next prime (312231210000029).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 135929998852 + ... + 135930001148.

It is an arithmetic number, because the mean of its divisors is an integer number (1062247219605).

Almost surely, 2^{312231210000000} is an apocalyptic number.

312231210000000 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 312231210000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543870576437760).

312231210000000 is an abundant number, since it is smaller than the sum of its proper divisors (775509942875520).

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

312231210000000 is an frugal number, since it uses more digits than its factorization.

312231210000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2569 (or 2527 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 312231210000000 its reverse (12132213), we get a palindrome (312231222132213).

The spelling of 312231210000000 in words is "three hundred twelve trillion, two hundred thirty-one billion, two hundred ten million", and thus it is an aban number.