12102121201200 has 60 divisors (see below), whose sum is σ = 38767128251688. Its totient is φ = 3227232320000.

The previous prime is 12102121201139. The next prime is 12102121201207. The reversal of 12102121201200 is 210212120121.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×12102121201200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12102121201200.

It is not an unprimeable number, because it can be changed into a prime (12102121201207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5042549301 + ... + 5042551700.

Almost surely, 2^{12102121201200} is an apocalyptic number.

12102121201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102121201200 is an abundant number, since it is smaller than the sum of its proper divisors (26665007050488).

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

12102121201200 is a wasteful number, since it uses less digits than its factorization.

12102121201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10085101022 (or 10085101011 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12102121201200 its reverse (210212120121), we get a palindrome (12312333321321).

The spelling of 12102121201200 in words is "twelve trillion, one hundred two billion, one hundred twenty-one million, two hundred one thousand, two hundred".