312343244213000 has 1536 divisors, whose sum is σ = 1053708963840000. Its totient is φ = 83964142080000.

The previous prime is 312343244212991. The next prime is 312343244213009. The reversal of 312343244213000 is 312442343213.

It is an interprime number because it is at equal distance from previous prime (312343244212991) and next prime (312343244213009).

It is not an unprimeable number, because it can be changed into a prime (312343244213009) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 11698673651 + ... + 11698700349.

It is an arithmetic number, because the mean of its divisors is an integer number (686008440000).

Almost surely, 2^{312343244213000} 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 312343244213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526854481920000).

312343244213000 is an abundant number, since it is smaller than the sum of its proper divisors (741365719627000).

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

312343244213000 is a wasteful number, since it uses less digits than its factorization.

312343244213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26824 (or 26797 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 312343244213000 its reverse (312442343213), we get a palindrome (312655686556213).

The spelling of 312343244213000 in words is "three hundred twelve trillion, three hundred forty-three billion, two hundred forty-four million, two hundred thirteen thousand".