122278614400 has 96 divisors (see below), whose sum is σ = 303813813600. Its totient is φ = 48628500480.

The previous prime is 122278614349. The next prime is 122278614413. The reversal of 122278614400 is 4416872221.

It is a self number, because there is not a number n which added to its sum of digits gives 122278614400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 443161 + ... + 664039.

It is an arithmetic number, because the mean of its divisors is an integer number (3164727225).

Almost surely, 2^122278614400 is an apocalyptic number.

122278614400 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 122278614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151906906800).

122278614400 is an abundant number, since it is smaller than the sum of its proper divisors (181535199200).

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

122278614400 is a wasteful number, since it uses less digits than its factorization.

122278614400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221076 (or 221059 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The spelling of 122278614400 in words is "one hundred twenty-two billion, two hundred seventy-eight million, six hundred fourteen thousand, four hundred".