122110012122200 has 96 divisors (see below), whose sum is σ = 285175956789360. Its totient is φ = 48625669440000.

The previous prime is 122110012122199. The next prime is 122110012122209. The reversal of 122110012122200 is 2221210011221.

122110012122200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122110012122209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102468182 + ... + 103653018.

Almost surely, 2^{122110012122200} is an apocalyptic number.

122110012122200 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 122110012122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142587978394680).

122110012122200 is an abundant number, since it is smaller than the sum of its proper divisors (163065944667160).

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

122110012122200 is a wasteful number, since it uses less digits than its factorization.

122110012122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187157 (or 1187148 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 122110012122200 its reverse (2221210011221), we get a palindrome (124331222133421).

The spelling of 122110012122200 in words is "one hundred twenty-two trillion, one hundred ten billion, twelve million, one hundred twenty-two thousand, two hundred".