12080601948 has 192 divisors, whose sum is σ = 31701196800. Its totient is φ = 3563888640.

The previous prime is 12080601887. The next prime is 12080601959. The reversal of 12080601948 is 84910608021.

12080601948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×12080601948³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31055338 + ... + 31055726.

It is an arithmetic number, because the mean of its divisors is an integer number (165110400).

Almost surely, 2^12080601948 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12080601948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15850598400).

12080601948 is an abundant number, since it is smaller than the sum of its proper divisors (19620594852).

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

12080601948 is a wasteful number, since it uses less digits than its factorization.

12080601948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The spelling of 12080601948 in words is "twelve billion, eighty million, six hundred one thousand, nine hundred forty-eight".