112202211 has 48 divisors (see below), whose sum is σ = 174666240. Its totient is φ = 63888000.

The previous prime is 112202177. The next prime is 112202221.

112202211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 112202211 - 2¹¹ = 112200163 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112202221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 742986 + ... + 743136.

It is an arithmetic number, because the mean of its divisors is an integer number (3638880).

Almost surely, 2^112202211 is an apocalyptic number.

112202211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112202211 is a deficient number, since it is larger than the sum of its proper divisors (62464029).

112202211 is a wasteful number, since it uses less digits than its factorization.

112202211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 112202211 is about 10592.5545077663. The cubic root of 112202211 is about 482.3183720437.

It can be divided in two parts, 11220 and 2211, that added together give a palindrome (13431).

The spelling of 112202211 in words is "one hundred twelve million, two hundred two thousand, two hundred eleven".