12442520220 has 288 divisors, whose sum is σ = 40658817024. Its totient is φ = 2833459200.

The previous prime is 12442520191. The next prime is 12442520257. The reversal of 12442520220 is 2202524421.

12442520220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7228960 + ... + 7230680.

It is an arithmetic number, because the mean of its divisors is an integer number (141176448).

Almost surely, 2^12442520220 is an apocalyptic number.

12442520220 is a gapful number since it is divisible by the number (10) 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 12442520220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20329408512).

12442520220 is an abundant number, since it is smaller than the sum of its proper divisors (28216296804).

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

12442520220 is a wasteful number, since it uses less digits than its factorization.

12442520220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The spelling of 12442520220 in words is "twelve billion, four hundred forty-two million, five hundred twenty thousand, two hundred twenty".