121122020212200 has 384 divisors, whose sum is σ = 476818281676800. Its totient is φ = 27683843592960.

The previous prime is 121122020212157. The next prime is 121122020212247. The reversal of 121122020212200 is 2212020221121.

It is a happy number.

121122020212200 is a `hidden beast` number, since 1 + 2 + 11 + 220 + 20 + 212 + 200 = 666.

121122020212200 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 95 ways as a sum of consecutive naturals, for example, 1121207389 + ... + 1121315411.

It is an arithmetic number, because the mean of its divisors is an integer number (1241714275200).

Almost surely, 2^{121122020212200} is an apocalyptic number.

121122020212200 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 121122020212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238409140838400).

121122020212200 is an abundant number, since it is smaller than the sum of its proper divisors (355696261464600).

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

121122020212200 is a wasteful number, since it uses less digits than its factorization.

121122020212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137718 (or 137703 counting only the distinct ones).

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

Adding to 121122020212200 its reverse (2212020221121), we get a palindrome (123334040433321).

The spelling of 121122020212200 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, twenty million, two hundred twelve thousand, two hundred".