312102310000 has 200 divisors, whose sum is σ = 815921933904. Its totient is φ = 114931200000.

The previous prime is 312102309991. The next prime is 312102310027. The reversal of 312102310000 is 13201213.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×312102310000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 52127007 + ... + 52132993.

Almost surely, 2^312102310000 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 312102310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407960966952).

312102310000 is an abundant number, since it is smaller than the sum of its proper divisors (503819623904).

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

312102310000 is a wasteful number, since it uses less digits than its factorization.

312102310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6429 (or 6408 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 312102310000 its reverse (13201213), we get a palindrome (312115511213).

The spelling of 312102310000 in words is "three hundred twelve billion, one hundred two million, three hundred ten thousand".