31312122002112 has 224 divisors, whose sum is σ = 100261607431680. Its totient is φ = 8419210444800.

The previous prime is 31312122002093. The next prime is 31312122002131. The reversal of 31312122002112 is 21120022121313.

It is an interprime number because it is at equal distance from previous prime (31312122002093) and next prime (31312122002131).

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 243289714 + ... + 243418382.

Almost surely, 2^{31312122002112} is an apocalyptic number.

31312122002112 is a gapful number since it is divisible by the number (32) 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 31312122002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50130803715840).

31312122002112 is an abundant number, since it is smaller than the sum of its proper divisors (68949485429568).

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

31312122002112 is a wasteful number, since it uses less digits than its factorization.

31312122002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139359 (or 139349 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 31312122002112 its reverse (21120022121313), we get a palindrome (52432144123425).

The spelling of 31312122002112 in words is "thirty-one trillion, three hundred twelve billion, one hundred twenty-two million, two thousand, one hundred twelve".