12097512000 has 1008 divisors, whose sum is σ = 52615600128. Its totient is φ = 2743372800.

The previous prime is 12097511957. The next prime is 12097512017. The reversal of 12097512000 is 21579021.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 95255937 + ... + 95256063.

It is an arithmetic number, because the mean of its divisors is an integer number (52198016).

Almost surely, 2^12097512000 is an apocalyptic number.

12097512000 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 12097512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26307800064).

12097512000 is an abundant number, since it is smaller than the sum of its proper divisors (40518088128).

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

12097512000 is an equidigital number, since it uses as much as digits as its factorization.

12097512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The spelling of 12097512000 in words is "twelve billion, ninety-seven million, five hundred twelve thousand".