112198871521 has 27 divisors (see below), whose sum is σ = 126903449043. Its totient is φ = 99121659120.

The previous prime is 112198871507. The next prime is 112198871593. The reversal of 112198871521 is 125178891211.

The square root of 112198871521 is 334961.

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

It can be written as a sum of positive squares in only one way, i.e., 100397091025 + 11801780496 = 316855^2 + 108636^2 .

It is not a de Polignac number, because 112198871521 - 2¹⁵ = 112198838753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112198871221) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 136328716 + ... + 136329538.

Almost surely, 2^112198871521 is an apocalyptic number.

112198871521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112198871521 is the 334961-st square number.

112198871521 is the 167481-st centered octagonal number.

It is an amenable number.

112198871521 is a deficient number, since it is larger than the sum of its proper divisors (14704577522).

112198871521 is an frugal number, since it uses more digits than its factorization.

112198871521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1742 (or 871 counting only the distinct ones).

The product of its digits is 80640, while the sum is 46.

The spelling of 112198871521 in words is "one hundred twelve billion, one hundred ninety-eight million, eight hundred seventy-one thousand, five hundred twenty-one".