12138540260 has 384 divisors, whose sum is σ = 36996341760. Its totient is φ = 3223756800.

The previous prime is 12138540247. The next prime is 12138540299. The reversal of 12138540260 is 6204583121.

12138540260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 127 ways as a sum of consecutive naturals, for example, 11440130 + ... + 11441190.

It is an arithmetic number, because the mean of its divisors is an integer number (96344640).

Almost surely, 2^12138540260 is an apocalyptic number.

12138540260 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 12138540260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18498170880).

12138540260 is an abundant number, since it is smaller than the sum of its proper divisors (24857801500).

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

12138540260 is a wasteful number, since it uses less digits than its factorization.

12138540260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The spelling of 12138540260 in words is "twelve billion, one hundred thirty-eight million, five hundred forty thousand, two hundred sixty".