12127536940736 has 224 divisors, whose sum is σ = 28960930639872. Its totient is φ = 4929061662720.

The previous prime is 12127536940667. The next prime is 12127536940763. The reversal of 12127536940736 is 63704963572121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (56).

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, 645518735 + ... + 645537521.

It is an arithmetic number, because the mean of its divisors is an integer number (129289868928).

Almost surely, 2^{12127536940736} is an apocalyptic number.

12127536940736 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 12127536940736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14480465319936).

12127536940736 is an abundant number, since it is smaller than the sum of its proper divisors (16833393699136).

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

12127536940736 is a wasteful number, since it uses less digits than its factorization.

12127536940736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19767 (or 19757 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 56.

The spelling of 12127536940736 in words is "twelve trillion, one hundred twenty-seven billion, five hundred thirty-six million, nine hundred forty thousand, seven hundred thirty-six".