12601642144 has 192 divisors, whose sum is σ = 31105105920. Its totient is φ = 4893281280.

The previous prime is 12601642129. The next prime is 12601642147. The reversal of 12601642144 is 44124610621.

It is not an unprimeable number, because it can be changed into a prime (12601642147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65977089 + ... + 65977279.

It is an arithmetic number, because the mean of its divisors is an integer number (162005760).

Almost surely, 2^12601642144 is an apocalyptic number.

12601642144 is a gapful number since it is divisible by the number (14) 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 12601642144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15552552960).

12601642144 is an abundant number, since it is smaller than the sum of its proper divisors (18503463776).

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

12601642144 is a wasteful number, since it uses less digits than its factorization.

12601642144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The spelling of 12601642144 in words is "twelve billion, six hundred one million, six hundred forty-two thousand, one hundred forty-four".