12080760120 has 1024 divisors, whose sum is σ = 52254720000. Its totient is φ = 2436065280.

The previous prime is 12080760071. The next prime is 12080760191. The reversal of 12080760120 is 2106708021.

It is a super-3 number, since 3×12080760120³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 67490191 + ... + 67490369.

It is an arithmetic number, because the mean of its divisors is an integer number (51030000).

Almost surely, 2^12080760120 is an apocalyptic number.

12080760120 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 12080760120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26127360000).

12080760120 is an abundant number, since it is smaller than the sum of its proper divisors (40173959880).

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

12080760120 is a wasteful number, since it uses less digits than its factorization.

12080760120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 12080760120 in words is "twelve billion, eighty million, seven hundred sixty thousand, one hundred twenty".