121221202101200 has 60 divisors (see below), whose sum is σ = 291235176591660. Its totient is φ = 48488274631680.

The previous prime is 121221202101161. The next prime is 121221202101283. The reversal of 121221202101200 is 2101202122121.

It can be written as a sum of positive squares in 6 ways, for example, as 13427885990464 + 107793316110736 = 3664408^2 + 10382356^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123285116 + ... + 124264484.

It is an arithmetic number, because the mean of its divisors is an integer number (4853919609861).

Almost surely, 2^{121221202101200} is an apocalyptic number.

121221202101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121221202101200 is an abundant number, since it is smaller than the sum of its proper divisors (170013974490460).

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

121221202101200 is a wasteful number, since it uses less digits than its factorization.

121221202101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288824 (or 1288813 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 121221202101200 its reverse (2101202122121), we get a palindrome (123322404223321).

The spelling of 121221202101200 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, two hundred two million, one hundred one thousand, two hundred".