12097536000 has 480 divisors, whose sum is σ = 44164673280. Its totient is φ = 2916352000.

The previous prime is 12097535981. The next prime is 12097536053. The reversal of 12097536000 is 63579021.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67583911 + ... + 67584089.

It is an arithmetic number, because the mean of its divisors is an integer number (92009736).

Almost surely, 2^12097536000 is an apocalyptic number.

12097536000 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 12097536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22082336640).

12097536000 is an abundant number, since it is smaller than the sum of its proper divisors (32067137280).

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

12097536000 is an equidigital number, since it uses as much as digits as its factorization.

12097536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The spelling of 12097536000 in words is "twelve billion, ninety-seven million, five hundred thirty-six thousand".