112112212202001 has 36 divisors (see below), whose sum is σ = 178014906129060. Its totient is φ = 67941110476800.

The previous prime is 112112212201919. The next prime is 112112212202059. The reversal of 112112212202001 is 100202212211211.

112112212202001 is a `hidden beast` number, since 1 + 1 + 21 + 1 + 221 + 220 + 200 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19050998915025 + 93061213286976 = 4364745^2 + 9646824^2 .

It is not a de Polignac number, because 112112212202001 - 2⁹ = 112112212201489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112112212202801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8733561 + ... + 17334921.

It is an arithmetic number, because the mean of its divisors is an integer number (4944858503585).

Almost surely, 2^{112112212202001} is an apocalyptic number.

112112212202001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112112212202001 is a deficient number, since it is larger than the sum of its proper divisors (65902693927059).

112112212202001 is a wasteful number, since it uses less digits than its factorization.

112112212202001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8613358 (or 8613344 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112112212202001 its reverse (100202212211211), we get a palindrome (212314424413212).

The spelling of 112112212202001 in words is "one hundred twelve trillion, one hundred twelve billion, two hundred twelve million, two hundred two thousand, one".