12200121010000 has 200 divisors, whose sum is σ = 36826241880384. Its totient is φ = 3802634880000.

The previous prime is 12200121009991. The next prime is 12200121010067. The reversal of 12200121010000 is 1012100221.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7152157 + ... + 8692156.

Almost surely, 2^{12200121010000} is an apocalyptic number.

12200121010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12200121010000 is an abundant number, since it is smaller than the sum of its proper divisors (24626120870384).

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

12200121010000 is a wasteful number, since it uses less digits than its factorization.

12200121010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15844359 (or 15844338 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12200121010000 its reverse (1012100221), we get a palindrome (12201133110221).

The spelling of 12200121010000 in words is "twelve trillion, two hundred billion, one hundred twenty-one million, ten thousand".