12741851136 has 384 divisors, whose sum is σ = 42268262400. Its totient is φ = 3331031040.

The previous prime is 12741851081. The next prime is 12741851141. The reversal of 12741851136 is 63115814721.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 12741851094 and 12741851103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25331461 + ... + 25331963.

It is an arithmetic number, because the mean of its divisors is an integer number (110073600).

Almost surely, 2^12741851136 is an apocalyptic number.

12741851136 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 12741851136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21134131200).

12741851136 is an abundant number, since it is smaller than the sum of its proper divisors (29526411264).

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

12741851136 is a wasteful number, since it uses less digits than its factorization.

12741851136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 565 counting only the distinct ones).

The product of its digits is 40320, while the sum is 39.

The spelling of 12741851136 in words is "twelve billion, seven hundred forty-one million, eight hundred fifty-one thousand, one hundred thirty-six".