312002310102000 has 320 divisors, whose sum is σ = 1156478624630784. Its totient is φ = 70887777331200.

The previous prime is 312002310101971. The next prime is 312002310102053. The reversal of 312002310102000 is 201013200213.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15227397 + ... + 29255396.

Almost surely, 2^{312002310102000} is an apocalyptic number.

312002310102000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312002310102000 is an abundant number, since it is smaller than the sum of its proper divisors (844476314528784).

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

312002310102000 is a wasteful number, since it uses less digits than its factorization.

312002310102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44482993 (or 44482977 counting only the distinct ones).

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

Adding to 312002310102000 its reverse (201013200213), we get a palindrome (312203323302213).

The spelling of 312002310102000 in words is "three hundred twelve trillion, two billion, three hundred ten million, one hundred two thousand".