122345127 has 32 divisors (see below), whose sum is σ = 188098560. Its totient is φ = 78511680.

The previous prime is 122345117. The next prime is 122345129. The reversal of 122345127 is 721543221.

It is not a de Polignac number, because 122345127 - 2²⁴ = 105567911 is a prime.

It is a super-2 number, since 2×122345127² = 29936660201292258, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 122345127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122345129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 261748 + ... + 262214.

It is an arithmetic number, because the mean of its divisors is an integer number (5878080).

Almost surely, 2^122345127 is an apocalyptic number.

122345127 is a deficient number, since it is larger than the sum of its proper divisors (65753433).

122345127 is a wasteful number, since it uses less digits than its factorization.

122345127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 814 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 122345127 is about 11060.9731488690. The cubic root of 122345127 is about 496.4348085744.

Adding to 122345127 its reverse (721543221), we get a palindrome (843888348).

The spelling of 122345127 in words is "one hundred twenty-two million, three hundred forty-five thousand, one hundred twenty-seven".