122479589376 has 576 divisors, whose sum is σ = 401812669440. Its totient is φ = 37105827840.

The previous prime is 122479589357. The next prime is 122479589377. The reversal of 122479589376 is 673985974221.

122479589376 is a `hidden beast` number, since 1 + 2 + 2 + 47 + 9 + 589 + 3 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122479589377) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 262268695 + ... + 262269161.

It is an arithmetic number, because the mean of its divisors is an integer number (697591440).

Almost surely, 2^122479589376 is an apocalyptic number.

122479589376 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 122479589376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200906334720).

122479589376 is an abundant number, since it is smaller than the sum of its proper divisors (279333080064).

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

122479589376 is an equidigital number, since it uses as much as digits as its factorization.

122479589376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 520 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 63.

The spelling of 122479589376 in words is "one hundred twenty-two billion, four hundred seventy-nine million, five hundred eighty-nine thousand, three hundred seventy-six".