12126581280 has 960 divisors, whose sum is σ = 50889928320. Its totient is φ = 2709780480.

The previous prime is 12126581273. The next prime is 12126581281. The reversal of 12126581280 is 8218562121.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12126581281) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 327745422 + ... + 327745458.

It is an arithmetic number, because the mean of its divisors is an integer number (53010342).

Almost surely, 2^12126581280 is an apocalyptic number.

12126581280 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 12126581280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25444964160).

12126581280 is an abundant number, since it is smaller than the sum of its proper divisors (38763347040).

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

12126581280 is a wasteful number, since it uses less digits than its factorization.

12126581280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 12126581280 in words is "twelve billion, one hundred twenty-six million, five hundred eighty-one thousand, two hundred eighty".