122554344400120 has 128 divisors (see below), whose sum is σ = 292778493235200. Its totient is φ = 46010015041536.

The previous prime is 122554344400093. The next prime is 122554344400129. The reversal of 122554344400120 is 21004443455221.

It is a self number, because there is not a number n which added to its sum of digits gives 122554344400120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122554344400129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2135696949 + ... + 2135754331.

It is an arithmetic number, because the mean of its divisors is an integer number (2287331978400).

Almost surely, 2^{122554344400120} is an apocalyptic number.

122554344400120 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 122554344400120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146389246617600).

122554344400120 is an abundant number, since it is smaller than the sum of its proper divisors (170224148835080).

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

122554344400120 is a wasteful number, since it uses less digits than its factorization.

122554344400120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66077 (or 66073 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 37.

Adding to 122554344400120 its reverse (21004443455221), we get a palindrome (143558787855341).

The spelling of 122554344400120 in words is "one hundred twenty-two trillion, five hundred fifty-four billion, three hundred forty-four million, four hundred thousand, one hundred twenty".