122344055152100 has 144 divisors (see below), whose sum is σ = 268824536128512. Its totient is φ = 48325224983040.

The previous prime is 122344055152097. The next prime is 122344055152147. The reversal of 122344055152100 is 1251550443221.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5448884474 + ... + 5448906926.

It is an arithmetic number, because the mean of its divisors is an integer number (1866837056448).

Almost surely, 2^{122344055152100} is an apocalyptic number.

122344055152100 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 122344055152100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134412268064256).

122344055152100 is an abundant number, since it is smaller than the sum of its proper divisors (146480480976412).

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

122344055152100 is a wasteful number, since it uses less digits than its factorization.

122344055152100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24046 (or 24039 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

The spelling of 122344055152100 in words is "one hundred twenty-two trillion, three hundred forty-four billion, fifty-five million, one hundred fifty-two thousand, one hundred".