122211045 has 128 divisors (see below), whose sum is σ = 258785280. Its totient is φ = 54051840.

The previous prime is 122210947. The next prime is 122211049. The reversal of 122211045 is 540112221.

It is not a de Polignac number, because 122211045 - 2⁷ = 122210917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122211049) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1186464 + ... + 1186566.

It is an arithmetic number, because the mean of its divisors is an integer number (2021760).

Almost surely, 2^122211045 is an apocalyptic number.

122211045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122211045 is an abundant number, since it is smaller than the sum of its proper divisors (136574235).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122211045 is a wasteful number, since it uses less digits than its factorization.

122211045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 122211045 is about 11054.9104473985. The cubic root of 122211045 is about 496.2533892715.

Adding to 122211045 its reverse (540112221), we get a palindrome (662323266).

The spelling of 122211045 in words is "one hundred twenty-two million, two hundred eleven thousand, forty-five".