12442141520 has 40 divisors (see below), whose sum is σ = 29214413640. Its totient is φ = 4927577600.

The previous prime is 12442141501. The next prime is 12442141529. The reversal of 12442141520 is 2514124421.

It can be written as a sum of positive squares in 4 ways, for example, as 8101440064 + 4340701456 = 90008^2 + 65884^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 12442141520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12442141529) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 761855 + ... + 778014.

It is an arithmetic number, because the mean of its divisors is an integer number (730360341).

Almost surely, 2^12442141520 is an apocalyptic number.

12442141520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12442141520 is an abundant number, since it is smaller than the sum of its proper divisors (16772272120).

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

12442141520 is a wasteful number, since it uses less digits than its factorization.

12442141520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539983 (or 1539977 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

Adding to 12442141520 its reverse (2514124421), we get a palindrome (14956265941).

The spelling of 12442141520 in words is "twelve billion, four hundred forty-two million, one hundred forty-one thousand, five hundred twenty".