122679100800 has 480 divisors, whose sum is σ = 460193685600. Its totient is φ = 32173977600.

The previous prime is 122679100799. The next prime is 122679100823. The reversal of 122679100800 is 8001976221.

It is a tau number, because it is divible by the number of its divisors (480).

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 59 ways as a sum of consecutive naturals, for example, 15807321 + ... + 15815079.

It is an arithmetic number, because the mean of its divisors is an integer number (958736845).

Almost surely, 2^122679100800 is an apocalyptic number.

122679100800 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 122679100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230096842800).

122679100800 is an abundant number, since it is smaller than the sum of its proper divisors (337514584800).

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

122679100800 is an equidigital number, since it uses as much as digits as its factorization.

122679100800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7856 (or 7830 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 122679100800 in words is "one hundred twenty-two billion, six hundred seventy-nine million, one hundred thousand, eight hundred".