112639431201 has 16 divisors (see below), whose sum is σ = 163848115200. Its totient is φ = 68262595920.

The previous prime is 112639431199. The next prime is 112639431227. The reversal of 112639431201 is 102134936211.

It is not a de Polignac number, because 112639431201 - 2¹ = 112639431199 is a prime.

It is a super-2 number, since 2×112639431201² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (112639431301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 596916 + ... + 762618.

It is an arithmetic number, because the mean of its divisors is an integer number (10240507200).

Almost surely, 2^112639431201 is an apocalyptic number.

112639431201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112639431201 is a deficient number, since it is larger than the sum of its proper divisors (51208683999).

112639431201 is a wasteful number, since it uses less digits than its factorization.

112639431201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186316.

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 112639431201 in words is "one hundred twelve billion, six hundred thirty-nine million, four hundred thirty-one thousand, two hundred one".