122716672 has 80 divisors (see below), whose sum is σ = 268107840. Its totient is φ = 55775232.

The previous prime is 122716621. The next prime is 122716681. The reversal of 122716672 is 276617221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 685479 + ... + 685657.

It is an arithmetic number, because the mean of its divisors is an integer number (3351348).

Almost surely, 2^122716672 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 122716672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134053920).

122716672 is an abundant number, since it is smaller than the sum of its proper divisors (145391168).

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

122716672 is a wasteful number, since it uses less digits than its factorization.

122716672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 297 counting only the distinct ones).

The product of its digits is 14112, while the sum is 34.

The square root of 122716672 is about 11077.7557293885. The cubic root of 122716672 is about 496.9368350295.

The spelling of 122716672 in words is "one hundred twenty-two million, seven hundred sixteen thousand, six hundred seventy-two".