12142107744 has 384 divisors, whose sum is σ = 38407219200. Its totient is φ = 3320807424.

The previous prime is 12142107713. The next prime is 12142107749. The reversal of 12142107744 is 44770124121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12142107749) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72707149 + ... + 72707315.

It is an arithmetic number, because the mean of its divisors is an integer number (100018800).

Almost surely, 2^12142107744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12142107744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19203609600).

12142107744 is an abundant number, since it is smaller than the sum of its proper divisors (26265111456).

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

12142107744 is a wasteful number, since it uses less digits than its factorization.

12142107744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

The spelling of 12142107744 in words is "twelve billion, one hundred forty-two million, one hundred seven thousand, seven hundred forty-four".