12009876480 has 792 divisors, whose sum is σ = 50455733328. Its totient is φ = 2731180032.

The previous prime is 12009876371. The next prime is 12009876503. The reversal of 12009876480 is 8467890021.

12009876480 is a `hidden beast` number, since 12 + 0 + 0 + 98 + 76 + 480 = 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 71 ways as a sum of consecutive naturals, for example, 60963742 + ... + 60963938.

It is an arithmetic number, because the mean of its divisors is an integer number (63706734).

Almost surely, 2^12009876480 is an apocalyptic number.

12009876480 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 12009876480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25227866664).

12009876480 is an abundant number, since it is smaller than the sum of its proper divisors (38445856848).

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

12009876480 is an equidigital number, since it uses as much as digits as its factorization.

12009876480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 214 counting only the distinct ones).

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

The spelling of 12009876480 in words is "twelve billion, nine million, eight hundred seventy-six thousand, four hundred eighty".