12002111202120 has 192 divisors, whose sum is σ = 39045576571200. Its totient is φ = 2950086896640.

The previous prime is 12002111202101. The next prime is 12002111202139. The reversal of 12002111202120 is 2120211120021.

It is an interprime number because it is at equal distance from previous prime (12002111202101) and next prime (12002111202139).

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 12002111202120.

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, 13585246 + ... + 14441714.

It is an arithmetic number, because the mean of its divisors is an integer number (203362377975).

Almost surely, 2^{12002111202120} is an apocalyptic number.

12002111202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12002111202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19522788285600).

12002111202120 is an abundant number, since it is smaller than the sum of its proper divisors (27043465369080).

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

12002111202120 is a wasteful number, since it uses less digits than its factorization.

12002111202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857200 (or 857183 counting only the distinct ones).

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

Adding to 12002111202120 its reverse (2120211120021), we get a palindrome (14122322322141).

The spelling of 12002111202120 in words is "twelve trillion, two billion, one hundred eleven million, two hundred two thousand, one hundred twenty".