122916000 has 96 divisors (see below), whose sum is σ = 402712128. Its totient is φ = 32774400.

The previous prime is 122915999. The next prime is 122916011. The reversal of 122916000 is 619221.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6879 + ... + 17121.

It is an arithmetic number, because the mean of its divisors is an integer number (4194918).

Almost surely, 2^122916000 is an apocalyptic number.

122916000 is a gapful number since it is divisible by the number (10) 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 122916000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201356064).

122916000 is an abundant number, since it is smaller than the sum of its proper divisors (279796128).

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

122916000 is a wasteful number, since it uses less digits than its factorization.

122916000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10271 (or 10253 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 122916000 is about 11086.7488471598. The cubic root of 122916000 is about 497.2057467200.

The spelling of 122916000 in words is "one hundred twenty-two million, nine hundred sixteen thousand".