312002322002112 has 112 divisors (see below), whose sum is σ = 943439570958080. Its totient is φ = 89143144676352.

The previous prime is 312002322002101. The next prime is 312002322002131. The reversal of 312002322002112 is 211200223200213.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 541799838 + ... + 542375394.

It is an arithmetic number, because the mean of its divisors is an integer number (8423567597840).

Almost surely, 2^{312002322002112} is an apocalyptic number.

312002322002112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

312002322002112 is an abundant number, since it is smaller than the sum of its proper divisors (631437248955968).

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

312002322002112 is a wasteful number, since it uses less digits than its factorization.

312002322002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978918 (or 978908 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 312002322002112 its reverse (211200223200213), we get a palindrome (523202545202325).

The spelling of 312002322002112 in words is "three hundred twelve trillion, two billion, three hundred twenty-two million, two thousand, one hundred twelve".