12096498009600 has 1440 divisors, whose sum is σ = 46321885209600. Its totient is φ = 3124414218240.

The previous prime is 12096498009529. The next prime is 12096498009623. The reversal of 12096498009600 is 690089469021.

12096498009600 is a `hidden beast` number, since 1 + 2 + 0 + 96 + 498 + 0 + 0 + 9 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19928332497 + ... + 19928333103.

It is an arithmetic number, because the mean of its divisors is an integer number (32167975840).

Almost surely, 2^{12096498009600} is an apocalyptic number.

12096498009600 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 12096498009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23160942604800).

12096498009600 is an abundant number, since it is smaller than the sum of its proper divisors (34225387200000).

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

12096498009600 is an equidigital number, since it uses as much as digits as its factorization.

12096498009600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 12096498009600 in words is "twelve trillion, ninety-six billion, four hundred ninety-eight million, nine thousand, six hundred".