122121022120200 has 432 divisors, whose sum is σ = 428919597271620. Its totient is φ = 31135921935360.

The previous prime is 122121022120171. The next prime is 122121022120231. The reversal of 122121022120200 is 2021220121221.

It is a happy number.

122121022120200 is a `hidden beast` number, since 1 + 2 + 212 + 10 + 221 + 20 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 28065434573124 + 94055587547076 = 5297682^2 + 9698226^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2244308194 + ... + 2244362606.

Almost surely, 2^{122121022120200} is an apocalyptic number.

122121022120200 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 122121022120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214459798635810).

122121022120200 is an abundant number, since it is smaller than the sum of its proper divisors (306798575151420).

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

122121022120200 is a wasteful number, since it uses less digits than its factorization.

122121022120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56838 (or 56803 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122121022120200 its reverse (2021220121221), we get a palindrome (124142242241421).

The spelling of 122121022120200 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, twenty-two million, one hundred twenty thousand, two hundred".