122768424 has 96 divisors (see below), whose sum is σ = 370656000. Its totient is φ = 36481536.

The previous prime is 122768423. The next prime is 122768431. The reversal of 122768424 is 424867221.

122768424 is a `hidden beast` number, since 1 + 227 + 6 + 8 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122768423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20617 + ... + 25895.

It is an arithmetic number, because the mean of its divisors is an integer number (3861000).

Almost surely, 2^122768424 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 122768424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185328000).

122768424 is an abundant number, since it is smaller than the sum of its proper divisors (247887576).

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

122768424 is a wasteful number, since it uses less digits than its factorization.

122768424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5327 (or 5320 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 122768424 is about 11080.0913353636. The cubic root of 122768424 is about 497.0066811782.

The spelling of 122768424 in words is "one hundred twenty-two million, seven hundred sixty-eight thousand, four hundred twenty-four".