11999840195200 has 768 divisors, whose sum is σ = 37513199001600. Its totient is φ = 3728406528000.

The previous prime is 11999840195183. The next prime is 11999840195209. The reversal of 11999840195200 is 259104899911.

It is not an unprimeable number, because it can be changed into a prime (11999840195209) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 326250411 + ... + 326287189.

It is an arithmetic number, because the mean of its divisors is an integer number (48845311200).

Almost surely, 2^{11999840195200} is an apocalyptic number.

11999840195200 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 11999840195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18756599500800).

11999840195200 is an abundant number, since it is smaller than the sum of its proper divisors (25513358806400).

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

11999840195200 is a wasteful number, since it uses less digits than its factorization.

11999840195200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36881 (or 36864 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 58.

The spelling of 11999840195200 in words is "eleven trillion, nine hundred ninety-nine billion, eight hundred forty million, one hundred ninety-five thousand, two hundred".