112809921967197 has 384 divisors, whose sum is σ = 216935333888000. Its totient is φ = 55975833478656.

The previous prime is 112809921967189. The next prime is 112809921967247. The reversal of 112809921967197 is 791769129908211.

112809921967197 is a `hidden beast` number, since 1 + 1 + 2 + 80 + 99 + 219 + 67 + 197 = 666.

It is not a de Polignac number, because 112809921967197 - 2³ = 112809921967189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112809921967147) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 103211272983 + ... + 103211274075.

Almost surely, 2^{112809921967197} is an apocalyptic number.

It is an amenable number.

112809921967197 is a deficient number, since it is larger than the sum of its proper divisors (104125411920803).

112809921967197 is a wasteful number, since it uses less digits than its factorization.

112809921967197 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1982 (or 1965 counting only the distinct ones).

The product of its (nonzero) digits is 61725888, while the sum is 72.

The spelling of 112809921967197 in words is "one hundred twelve trillion, eight hundred nine billion, nine hundred twenty-one million, nine hundred sixty-seven thousand, one hundred ninety-seven".