122200021002900 has 144 divisors (see below), whose sum is σ = 353817919203840. Its totient is φ = 32563404182400.

The previous prime is 122200021002893. The next prime is 122200021002901. The reversal of 122200021002900 is 9200120002221.

It is a happy number.

122200021002900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122200021002900² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122200021002901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4280646427 + ... + 4280674973.

It is an arithmetic number, because the mean of its divisors is an integer number (2457068883360).

Almost surely, 2^{122200021002900} is an apocalyptic number.

122200021002900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122200021002900 is an abundant number, since it is smaller than the sum of its proper divisors (231617898200940).

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

122200021002900 is a wasteful number, since it uses less digits than its factorization.

122200021002900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38254 (or 38247 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The spelling of 122200021002900 in words is "one hundred twenty-two trillion, two hundred billion, twenty-one million, two thousand, nine hundred".