112616211 has 64 divisors (see below), whose sum is σ = 181370880. Its totient is φ = 61585920.

The previous prime is 112616201. The next prime is 112616219.

112616211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 112616211 - 2¹³ = 112608019 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112616219) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 690816 + ... + 690978.

It is an arithmetic number, because the mean of its divisors is an integer number (2833920).

Almost surely, 2^112616211 is an apocalyptic number.

112616211 is a deficient number, since it is larger than the sum of its proper divisors (68754669).

112616211 is a wasteful number, since it uses less digits than its factorization.

112616211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256.

The product of its digits is 144, while the sum is 21.

The square root of 112616211 is about 10612.0785428680. The cubic root of 112616211 is about 482.9108580438.

The spelling of 112616211 in words is "one hundred twelve million, six hundred sixteen thousand, two hundred eleven".