12099248640 has 800 divisors, whose sum is σ = 47413840320. Its totient is φ = 2938208256.

The previous prime is 12099248617. The next prime is 12099248657. The reversal of 12099248640 is 4684299021.

12099248640 is a `hidden beast` number, since 120 + 9 + 9 + 2 + 486 + 40 = 666.

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 79 ways as a sum of consecutive naturals, for example, 145774039 + ... + 145774121.

Almost surely, 2^12099248640 is an apocalyptic number.

12099248640 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 12099248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23706920160).

12099248640 is an abundant number, since it is smaller than the sum of its proper divisors (35314591680).

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

12099248640 is an equidigital number, since it uses as much as digits as its factorization.

12099248640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 12099248640 in words is "twelve billion, ninety-nine million, two hundred forty-eight thousand, six hundred forty".