12085819200000 has 2880 divisors, whose sum is σ = 56131486354944. Its totient is φ = 2433024000000.

The previous prime is 12085819199983. The next prime is 12085819200079. The reversal of 12085819200000 is 291858021.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 30139199800 + ... + 30139200200.

Almost surely, 2^{12085819200000} is an apocalyptic number.

12085819200000 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 12085819200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28065743177472).

12085819200000 is an abundant number, since it is smaller than the sum of its proper divisors (44045667154944).

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

12085819200000 is an equidigital number, since it uses as much as digits as its factorization.

12085819200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 12085819200000 in words is "twelve trillion, eighty-five billion, eight hundred nineteen million, two hundred thousand".