122121200000220 has 96 divisors (see below), whose sum is σ = 351305772668928. Its totient is φ = 31681912077312.

The previous prime is 122121200000209. The next prime is 122121200000227. The reversal of 122121200000220 is 22000002121221.

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 122121200000220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122121200000227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129185917 + ... + 130127796.

It is an arithmetic number, because the mean of its divisors is an integer number (3659435131968).

Almost surely, 2^{122121200000220} is an apocalyptic number.

122121200000220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122121200000220 is an abundant number, since it is smaller than the sum of its proper divisors (229184572668708).

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

122121200000220 is a wasteful number, since it uses less digits than its factorization.

122121200000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259313939 (or 259313937 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 122121200000220 its reverse (22000002121221), we get a palindrome (144121202121441).

The spelling of 122121200000220 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, two hundred million, two hundred twenty", and thus it is an aban number.