12101221121200 has 120 divisors (see below), whose sum is σ = 30874179618000. Its totient is φ = 4545143930880.

The previous prime is 12101221121177. The next prime is 12101221121239. The reversal of 12101221121200 is 212112210121.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6186625 + ... + 7904224.

It is an arithmetic number, because the mean of its divisors is an integer number (257284830150).

Almost surely, 2^{12101221121200} is an apocalyptic number.

12101221121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12101221121200 is an abundant number, since it is smaller than the sum of its proper divisors (18772958496800).

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

12101221121200 is a wasteful number, since it uses less digits than its factorization.

12101221121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14090999 (or 14090988 counting only the distinct ones).

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

Adding to 12101221121200 its reverse (212112210121), we get a palindrome (12313333331321).

The spelling of 12101221121200 in words is "twelve trillion, one hundred one billion, two hundred twenty-one million, one hundred twenty-one thousand, two hundred".