12185040991200 has 1152 divisors, whose sum is σ = 49830440647680. Its totient is φ = 2512527360000.

The previous prime is 12185040991199. The next prime is 12185040991213. The reversal of 12185040991200 is 219904058121.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23939176546 + ... + 23939177054.

It is an arithmetic number, because the mean of its divisors is an integer number (43255590840).

Almost surely, 2^{12185040991200} is an apocalyptic number.

12185040991200 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 12185040991200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24915220323840).

12185040991200 is an abundant number, since it is smaller than the sum of its proper divisors (37645399656480).

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

12185040991200 is a wasteful number, since it uses less digits than its factorization.

12185040991200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 42.

The spelling of 12185040991200 in words is "twelve trillion, one hundred eighty-five billion, forty million, nine hundred ninety-one thousand, two hundred".