122842016 has 48 divisors (see below), whose sum is σ = 265573728. Its totient is φ = 55468800.

The previous prime is 122841977. The next prime is 122842033. The reversal of 122842016 is 610248221.

It is a happy 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, 56306 + ... + 58446.

It is an arithmetic number, because the mean of its divisors is an integer number (5532786).

Almost surely, 2^122842016 is an apocalyptic number.

122842016 is a gapful number since it is divisible by the number (16) 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 122842016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132786864).

122842016 is an abundant number, since it is smaller than the sum of its proper divisors (142731712).

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

122842016 is a wasteful number, since it uses less digits than its factorization.

122842016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2325 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 122842016 is about 11083.4117490960. The cubic root of 122842016 is about 497.1059694931.

The spelling of 122842016 in words is "one hundred twenty-two million, eight hundred forty-two thousand, sixteen".