12041256960 has 272 divisors, whose sum is σ = 42844488480. Its totient is φ = 3208642560.

The previous prime is 12041256917. The next prime is 12041256989. The reversal of 12041256960 is 6965214021.

12041256960 is a `hidden beast` number, since 1 + 20 + 4 + 12 + 569 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8846680 + ... + 8848040.

Almost surely, 2^12041256960 is an apocalyptic number.

12041256960 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 12041256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21422244240).

12041256960 is an abundant number, since it is smaller than the sum of its proper divisors (30803231520).

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

12041256960 is an frugal number, since it uses more digits than its factorization.

12041256960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 12041256960 in words is "twelve billion, forty-one million, two hundred fifty-six thousand, nine hundred sixty".