122496768 has 108 divisors (see below), whose sum is σ = 358190560. Its totient is φ = 40255488.

The previous prime is 122496763. The next prime is 122496791. The reversal of 122496768 is 867694221.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122496763) 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 11 ways as a sum of consecutive naturals, for example, 181680 + ... + 182352.

Almost surely, 2^122496768 is an apocalyptic number.

122496768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122496768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179095280).

122496768 is an abundant number, since it is smaller than the sum of its proper divisors (235693792).

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

122496768 is an equidigital number, since it uses as much as digits as its factorization.

122496768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 757 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 122496768 is about 11067.8258027492. The cubic root of 122496768 is about 496.6398263851.

The spelling of 122496768 in words is "one hundred twenty-two million, four hundred ninety-six thousand, seven hundred sixty-eight".