12906257280 has 256 divisors, whose sum is σ = 48533852160. Its totient is φ = 2854748160.

The previous prime is 12906257267. The next prime is 12906257291. The reversal of 12906257280 is 8275260921.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 401152 + ... + 432128.

It is an arithmetic number, because the mean of its divisors is an integer number (189585360).

Almost surely, 2^12906257280 is an apocalyptic number.

12906257280 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 12906257280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24266926080).

12906257280 is an abundant number, since it is smaller than the sum of its proper divisors (35627594880).

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

12906257280 is a wasteful number, since it uses less digits than its factorization.

12906257280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31037 (or 31025 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 12906257280 in words is "twelve billion, nine hundred six million, two hundred fifty-seven thousand, two hundred eighty".