121210120220200 has 288 divisors, whose sum is σ = 310783442292000. Its totient is φ = 43601166720000.

The previous prime is 121210120220081. The next prime is 121210120220207. The reversal of 121210120220200 is 2022021012121.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (121210120220207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40149094291 + ... + 40149097309.

It is an arithmetic number, because the mean of its divisors is an integer number (1079109174625).

Almost surely, 2^{121210120220200} is an apocalyptic number.

121210120220200 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 121210120220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155391721146000).

121210120220200 is an abundant number, since it is smaller than the sum of its proper divisors (189573322071800).

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

121210120220200 is a wasteful number, since it uses less digits than its factorization.

121210120220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5037 (or 4927 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 121210120220200 its reverse (2022021012121), we get a palindrome (123232141232321).

The spelling of 121210120220200 in words is "one hundred twenty-one trillion, two hundred ten billion, one hundred twenty million, two hundred twenty thousand, two hundred".