122788144 has 40 divisors (see below), whose sum is σ = 253309680. Its totient is φ = 57458688.

The previous prime is 122788139. The next prime is 122788147. The reversal of 122788144 is 441887221.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (122788147) 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, 51327 + ... + 53665.

It is an arithmetic number, because the mean of its divisors is an integer number (6332742).

Almost surely, 2^122788144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122788144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126654840).

122788144 is an abundant number, since it is smaller than the sum of its proper divisors (130521536).

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

122788144 is a wasteful number, since it uses less digits than its factorization.

122788144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2557 (or 2551 counting only the distinct ones).

The product of its digits is 28672, while the sum is 37.

The square root of 122788144 is about 11080.9811839927. The cubic root of 122788144 is about 497.0332907539.

The spelling of 122788144 in words is "one hundred twenty-two million, seven hundred eighty-eight thousand, one hundred forty-four".