12110199628800 has 1584 divisors, whose sum is σ = 50842861181952. Its totient is φ = 2519374233600.

The previous prime is 12110199628733. The next prime is 12110199628819. The reversal of 12110199628800 is 882699101121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12110199628800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3571275105 + ... + 3571278495.

Almost surely, 2^{12110199628800} is an apocalyptic number.

12110199628800 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 12110199628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25421430590976).

12110199628800 is an abundant number, since it is smaller than the sum of its proper divisors (38732661553152).

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

12110199628800 is a wasteful number, since it uses less digits than its factorization.

12110199628800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3524 (or 3494 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 48.

The spelling of 12110199628800 in words is "twelve trillion, one hundred ten billion, one hundred ninety-nine million, six hundred twenty-eight thousand, eight hundred".