12102111001200 has 240 divisors, whose sum is σ = 42710108199552. Its totient is φ = 2904796800000.

The previous prime is 12102111001177. The next prime is 12102111001249. The reversal of 12102111001200 is 210011120121.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×12102111001200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3205546 + ... + 5871945.

Almost surely, 2^{12102111001200} is an apocalyptic number.

12102111001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102111001200 is an abundant number, since it is smaller than the sum of its proper divisors (30607997198352).

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

12102111001200 is a wasteful number, since it uses less digits than its factorization.

12102111001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9077624 (or 9077613 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12102111001200 its reverse (210011120121), we get a palindrome (12312122121321).

The spelling of 12102111001200 in words is "twelve trillion, one hundred two billion, one hundred eleven million, one thousand, two hundred".