12097088640 has 1024 divisors, whose sum is σ = 54149760000. Its totient is φ = 2536095744.

The previous prime is 12097088611. The next prime is 12097088657. The reversal of 12097088640 is 4688079021.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 77051442 + ... + 77051598.

It is an arithmetic number, because the mean of its divisors is an integer number (52880625).

Almost surely, 2^12097088640 is an apocalyptic number.

12097088640 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 12097088640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27074880000).

12097088640 is an abundant number, since it is smaller than the sum of its proper divisors (42052671360).

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

12097088640 is a wasteful number, since it uses less digits than its factorization.

12097088640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 12097088640 in words is "twelve billion, ninety-seven million, eighty-eight thousand, six hundred forty".