122079362236416 has 480 divisors, whose sum is σ = 390259059321600. Its totient is φ = 37492492861440.

The previous prime is 122079362236399. The next prime is 122079362236417. The reversal of 122079362236416 is 614632263970221.

122079362236416 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 7 + 9 + 3 + 622 + 3 + 6 + 4 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122079362236417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3111154525 + ... + 3111193763.

It is an arithmetic number, because the mean of its divisors is an integer number (813039706920).

Almost surely, 2^{122079362236416} is an apocalyptic number.

122079362236416 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 122079362236416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195129529660800).

122079362236416 is an abundant number, since it is smaller than the sum of its proper divisors (268179697085184).

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

122079362236416 is an equidigital number, since it uses as much as digits as its factorization.

122079362236416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39830 (or 39798 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 122079362236416 in words is "one hundred twenty-two trillion, seventy-nine billion, three hundred sixty-two million, two hundred thirty-six thousand, four hundred sixteen".