122445558144 has 512 divisors, whose sum is σ = 448140672000. Its totient is φ = 32049561600.

The previous prime is 122445558139. The next prime is 122445558199. The reversal of 122445558144 is 441855544221.

122445558144 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 455 + 58 + 144 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 122445558144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43713544 + ... + 43716344.

It is an arithmetic number, because the mean of its divisors is an integer number (875274750).

Almost surely, 2^122445558144 is an apocalyptic number.

122445558144 is a gapful number since it is divisible by the number (14) 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 122445558144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224070336000).

122445558144 is an abundant number, since it is smaller than the sum of its proper divisors (325695113856).

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

122445558144 is a wasteful number, since it uses less digits than its factorization.

122445558144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2983 (or 2965 counting only the distinct ones).

The product of its digits is 1024000, while the sum is 45.

The spelling of 122445558144 in words is "one hundred twenty-two billion, four hundred forty-five million, five hundred fifty-eight thousand, one hundred forty-four".