122567144 has 32 divisors (see below), whose sum is σ = 278095680. Its totient is φ = 49438464.

The previous prime is 122567141. The next prime is 122567147. The reversal of 122567144 is 441765221.

It is an interprime number because it is at equal distance from previous prime (122567141) and next prime (122567147).

It is a self number, because there is not a number n which added to its sum of digits gives 122567144.

It is not an unprimeable number, because it can be changed into a prime (122567141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63422 + ... + 65325.

It is an arithmetic number, because the mean of its divisors is an integer number (8690490).

Almost surely, 2^122567144 is an apocalyptic number.

122567144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

122567144 is an abundant number, since it is smaller than the sum of its proper divisors (155528536).

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

122567144 is a wasteful number, since it uses less digits than its factorization.

122567144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128777 (or 128773 counting only the distinct ones).

The product of its digits is 13440, while the sum is 32.

The square root of 122567144 is about 11071.0046517920. The cubic root of 122567144 is about 496.7349168754.

The spelling of 122567144 in words is "one hundred twenty-two million, five hundred sixty-seven thousand, one hundred forty-four".