122133144 has 32 divisors (see below), whose sum is σ = 348952320. Its totient is φ = 34895136.

The previous prime is 122133133. The next prime is 122133203. The reversal of 122133144 is 441331221.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 122133144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 363324 + ... + 363659.

It is an arithmetic number, because the mean of its divisors is an integer number (10904760).

Almost surely, 2^122133144 is an apocalyptic number.

122133144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

122133144 is an abundant number, since it is smaller than the sum of its proper divisors (226819176).

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

122133144 is a wasteful number, since it uses less digits than its factorization.

122133144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726999 (or 726995 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 122133144 is about 11051.3865193468. The cubic root of 122133144 is about 496.1479245751.

Adding to 122133144 its reverse (441331221), we get a palindrome (563464365).

The spelling of 122133144 in words is "one hundred twenty-two million, one hundred thirty-three thousand, one hundred forty-four".