122416583222016 has 432 divisors, whose sum is σ = 379489403782944. Its totient is φ = 37814055469056.

The previous prime is 122416583221987. The next prime is 122416583222039. The reversal of 122416583222016 is 610222385614221.

122416583222016 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 16 + 583 + 22 + 20 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1678351500 + ... + 1678424436.

It is an arithmetic number, because the mean of its divisors is an integer number (878447693942).

Almost surely, 2^{122416583222016} is an apocalyptic number.

122416583222016 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 122416583222016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189744701891472).

122416583222016 is an abundant number, since it is smaller than the sum of its proper divisors (257072820560928).

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

122416583222016 is a wasteful number, since it uses less digits than its factorization.

122416583222016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73636 (or 73619 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 122416583222016 in words is "one hundred twenty-two trillion, four hundred sixteen billion, five hundred eighty-three million, two hundred twenty-two thousand, sixteen".