121122210220200 has 288 divisors, whose sum is σ = 469143524678400. Its totient is φ = 27431084782080.

The previous prime is 121122210220163. The next prime is 121122210220211. The reversal of 121122210220200 is 2022012221121.

It is a happy number.

121122210220200 is a `hidden beast` number, since 1 + 2 + 11 + 22 + 210 + 220 + 200 = 666.

121122210220200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 71 ways as a sum of consecutive naturals, for example, 42722352 + ... + 45469151.

It is an arithmetic number, because the mean of its divisors is an integer number (1628970571800).

Almost surely, 2^{121122210220200} is an apocalyptic number.

121122210220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121122210220200 is an abundant number, since it is smaller than the sum of its proper divisors (348021314458200).

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

121122210220200 is a wasteful number, since it uses less digits than its factorization.

121122210220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88191641 (or 88191629 counting only the distinct ones).

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

Adding to 121122210220200 its reverse (2022012221121), we get a palindrome (123144222441321).

The spelling of 121122210220200 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, two hundred ten million, two hundred twenty thousand, two hundred".