122122331120300 has 144 divisors (see below), whose sum is σ = 310479597533952. Its totient is φ = 40821180422400.

The previous prime is 122122331120213. The next prime is 122122331120323. The reversal of 122122331120300 is 3021133221221.

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, 12534359 + ... + 20033841.

It is an arithmetic number, because the mean of its divisors is an integer number (2156108316208).

Almost surely, 2^{122122331120300} is an apocalyptic number.

122122331120300 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 122122331120300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155239798766976).

122122331120300 is an abundant number, since it is smaller than the sum of its proper divisors (188357266413652).

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

122122331120300 is a wasteful number, since it uses less digits than its factorization.

122122331120300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7500088 (or 7500081 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 122122331120300 its reverse (3021133221221), we get a palindrome (125143464341521).

The spelling of 122122331120300 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, three hundred thirty-one million, one hundred twenty thousand, three hundred".