122679532416000 has 1408 divisors, whose sum is σ = 483249356328960. Its totient is φ = 27029667840000.

The previous prime is 122679532415977. The next prime is 122679532416037. The reversal of 122679532416000 is 614235976221.

122679532416000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 76626815200 + ... + 76626816800.

Almost surely, 2^{122679532416000} is an apocalyptic number.

122679532416000 is a gapful number since it is divisible by the number (10) 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 122679532416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241624678164480).

122679532416000 is an abundant number, since it is smaller than the sum of its proper divisors (360569823912960).

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

122679532416000 is a wasteful number, since it uses less digits than its factorization.

122679532416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2658 (or 2630 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 122679532416000 in words is "one hundred twenty-two trillion, six hundred seventy-nine billion, five hundred thirty-two million, four hundred sixteen thousand".