122916072 has 64 divisors (see below), whose sum is σ = 319072320. Its totient is φ = 39426048.

The previous prime is 122916067. The next prime is 122916077. The reversal of 122916072 is 270619221.

It is an interprime number because it is at equal distance from previous prime (122916067) and next prime (122916077).

It is not an unprimeable number, because it can be changed into a prime (122916077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85423 + ... + 86849.

It is an arithmetic number, because the mean of its divisors is an integer number (4985505).

Almost surely, 2^122916072 is an apocalyptic number.

122916072 is a gapful number since it is divisible by the number (12) 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 122916072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159536160).

122916072 is an abundant number, since it is smaller than the sum of its proper divisors (196156248).

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

122916072 is a wasteful number, since it uses less digits than its factorization.

122916072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 122916072 is about 11086.7520942790. The cubic root of 122916072 is about 497.2058438021.

The spelling of 122916072 in words is "one hundred twenty-two million, nine hundred sixteen thousand, seventy-two".