12082037760 has 704 divisors, whose sum is σ = 47375112960. Its totient is φ = 2938208256.

The previous prime is 12082037729. The next prime is 12082037861. The reversal of 12082037760 is 6773028021.

12082037760 is a `hidden beast` number, since 1 + 208 + 20 + 377 + 60 = 666.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 145566679 + ... + 145566761.

Almost surely, 2^12082037760 is an apocalyptic number.

12082037760 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 12082037760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23687556480).

12082037760 is an abundant number, since it is smaller than the sum of its proper divisors (35293075200).

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

12082037760 is an frugal number, since it uses more digits than its factorization.

12082037760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 12082037760 in words is "twelve billion, eighty-two million, thirty-seven thousand, seven hundred sixty".