112628031201 has 75 divisors (see below), whose sum is σ = 196534526243. Its totient is φ = 64274303520.

The previous prime is 112628031127. The next prime is 112628031203. The reversal of 112628031201 is 102130826211.

The square root of 112628031201 is 335601.

It is a perfect power (a square), and thus also a powerful number.

112628031201 is a `hidden beast` number, since 1 + 1 + 2 + 628 + 0 + 31 + 2 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 295805601 + 112332225600 = 17199^2 + 335160^2 .

It is not a de Polignac number, because 112628031201 - 2⁷ = 112628031073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112628031203) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 147999661 + ... + 148000421.

Almost surely, 2^112628031201 is an apocalyptic number.

112628031201 is the 335601-st square number.

112628031201 is the 167801-st centered octagonal number.

It is an amenable number.

112628031201 is a deficient number, since it is larger than the sum of its proper divisors (83906495042).

112628031201 is an frugal number, since it uses more digits than its factorization.

112628031201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1562 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 112628031201 its reverse (102130826211), we get a palindrome (214758857412).

It can be divided in two parts, 1126280 and 31201, that added together give a triangular number (1157481 = T₁₅₂₁).

The spelling of 112628031201 in words is "one hundred twelve billion, six hundred twenty-eight million, thirty-one thousand, two hundred one".