122642505216 has 960 divisors, whose sum is σ = 472176207360. Its totient is φ = 30532239360.

The previous prime is 122642505173. The next prime is 122642505241. The reversal of 122642505216 is 612505246221.

122642505216 is a `hidden beast` number, since 1 + 2 + 2 + 642 + 5 + 0 + 5 + 2 + 1 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 895200700 + ... + 895200836.

It is an arithmetic number, because the mean of its divisors is an integer number (491850216).

Almost surely, 2^122642505216 is an apocalyptic number.

122642505216 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 122642505216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236088103680).

122642505216 is an abundant number, since it is smaller than the sum of its proper divisors (349533702144).

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

122642505216 is a wasteful number, since it uses less digits than its factorization.

122642505216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 122642505216 in words is "one hundred twenty-two billion, six hundred forty-two million, five hundred five thousand, two hundred sixteen".