12601981296 has 200 divisors, whose sum is σ = 37354198464. Its totient is φ = 4100129280.

The previous prime is 12601981283. The next prime is 12601981309. The reversal of 12601981296 is 69218910621.

12601981296 is a `hidden beast` number, since 12 + 601 + 9 + 8 + 1 + 29 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (12601981283) and next prime (12601981309).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18614110 + ... + 18614786.

Almost surely, 2^12601981296 is an apocalyptic number.

12601981296 is a gapful number since it is divisible by the number (16) 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 12601981296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18677099232).

12601981296 is an abundant number, since it is smaller than the sum of its proper divisors (24752217168).

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

12601981296 is a wasteful number, since it uses less digits than its factorization.

12601981296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 12601981296 in words is "twelve billion, six hundred one million, nine hundred eighty-one thousand, two hundred ninety-six".