121221021011200 has 216 divisors, whose sum is σ = 341548616114496. Its totient is φ = 42163832832000.

The previous prime is 121221021011173. The next prime is 121221021011201. The reversal of 121221021011200 is 2110120122121.

121221021011200 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 (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121221021011201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35813181 + ... + 39051580.

Almost surely, 2^{121221021011200} is an apocalyptic number.

121221021011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121221021011200 is an abundant number, since it is smaller than the sum of its proper divisors (220327595103296).

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

121221021011200 is a wasteful number, since it uses less digits than its factorization.

121221021011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74864821 (or 74864802 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 121221021011200 its reverse (2110120122121), we get a palindrome (123331141133321).

The spelling of 121221021011200 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, twenty-one million, eleven thousand, two hundred".