112112002002000 has 640 divisors, whose sum is σ = 485302306664448. Its totient is φ = 21503999232000.

The previous prime is 112112002001977. The next prime is 112112002002053. The reversal of 112112002002000 is 200200211211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3327334 + ... + 15339333.

Almost surely, 2^{112112002002000} is an apocalyptic number.

112112002002000 is a gapful number since it is divisible by the number (10) 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 112112002002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242651153332224).

112112002002000 is an abundant number, since it is smaller than the sum of its proper divisors (373190304662448).

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

112112002002000 is a wasteful number, since it uses less digits than its factorization.

112112002002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18666724 (or 18666708 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 112112002002000 its reverse (200200211211), we get a palindrome (112312202213211).

The spelling of 112112002002000 in words is "one hundred twelve trillion, one hundred twelve billion, two million, two thousand".