122313011100 has 576 divisors, whose sum is σ = 440888448000. Its totient is φ = 26092523520.

The previous prime is 122313011057. The next prime is 122313011111. The reversal of 122313011100 is 1110313221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122313011100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 142721872 + ... + 142722728.

Almost surely, 2^122313011100 is an apocalyptic number.

122313011100 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 122313011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220444224000).

122313011100 is an abundant number, since it is smaller than the sum of its proper divisors (318575436900).

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

122313011100 is a wasteful number, since it uses less digits than its factorization.

122313011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 122313011100 its reverse (1110313221), we get a palindrome (123423324321).

The spelling of 122313011100 in words is "one hundred twenty-two billion, three hundred thirteen million, eleven thousand, one hundred".