12102121201120 has 96 divisors (see below), whose sum is σ = 28676005585920. Its totient is φ = 4826514731520.

The previous prime is 12102121201061. The next prime is 12102121201127. The reversal of 12102121201120 is 2110212120121.

It is a super-2 number, since 2×12102121201120² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12102121201094 and 12102121201103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102121201127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108832269 + ... + 108943411.

It is an arithmetic number, because the mean of its divisors is an integer number (298708391520).

Almost surely, 2^{12102121201120} is an apocalyptic number.

12102121201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102121201120 is an abundant number, since it is smaller than the sum of its proper divisors (16573884384800).

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

12102121201120 is a wasteful number, since it uses less digits than its factorization.

12102121201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113168 (or 113160 counting only the distinct ones).

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

Adding to 12102121201120 its reverse (2110212120121), we get a palindrome (14212333321241).

The spelling of 12102121201120 in words is "twelve trillion, one hundred two billion, one hundred twenty-one million, two hundred one thousand, one hundred twenty".