122564704416 has 192 divisors, whose sum is σ = 418561468416. Its totient is φ = 30450816000.

The previous prime is 122564704351. The next prime is 122564704481. The reversal of 122564704416 is 614407465221.

It is an interprime number because it is at equal distance from previous prime (122564704351) and next prime (122564704481).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190435 + ... + 530466.

It is an arithmetic number, because the mean of its divisors is an integer number (2180007648).

Almost surely, 2^122564704416 is an apocalyptic number.

122564704416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

122564704416 is an abundant number, since it is smaller than the sum of its proper divisors (295996764000).

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

122564704416 is a wasteful number, since it uses less digits than its factorization.

122564704416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720955 (or 720947 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 122564704416 in words is "one hundred twenty-two billion, five hundred sixty-four million, seven hundred four thousand, four hundred sixteen".