122668672 has 64 divisors (see below), whose sum is σ = 282988800. Its totient is φ = 51876864.

The previous prime is 122668669. The next prime is 122668697. The reversal of 122668672 is 276866221.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69918 + ... + 71650.

It is an arithmetic number, because the mean of its divisors is an integer number (4421700).

Almost surely, 2^122668672 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 122668672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141494400).

122668672 is an abundant number, since it is smaller than the sum of its proper divisors (160320128).

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

122668672 is an equidigital number, since it uses as much as digits as its factorization.

122668672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833 (or 1821 counting only the distinct ones).

The product of its digits is 96768, while the sum is 40.

The square root of 122668672 is about 11075.5890136823. The cubic root of 122668672 is about 496.8720351444.

The spelling of 122668672 in words is "one hundred twenty-two million, six hundred sixty-eight thousand, six hundred seventy-two".