12082452480 has 480 divisors, whose sum is σ = 49517788320. Its totient is φ = 2760376320.

The previous prime is 12082452463. The next prime is 12082452491. The reversal of 12082452480 is 8425428021.

12082452480 is a `hidden beast` number, since 120 + 8 + 2 + 4 + 52 + 480 = 666.

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 (36).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 5805040 + ... + 5807120.

It is an arithmetic number, because the mean of its divisors is an integer number (103162059).

Almost surely, 2^12082452480 is an apocalyptic number.

12082452480 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 12082452480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24758894160).

12082452480 is an abundant number, since it is smaller than the sum of its proper divisors (37435335840).

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

12082452480 is an equidigital number, since it uses as much as digits as its factorization.

12082452480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127 (or 2098 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 12082452480 in words is "twelve billion, eighty-two million, four hundred fifty-two thousand, four hundred eighty".