12642244160 has 224 divisors, whose sum is σ = 37261873152. Its totient is φ = 3978362880.

The previous prime is 12642244159. The next prime is 12642244189. The reversal of 12642244160 is 6144224621.

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 (32).

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, 5560784 + ... + 5563056.

It is an arithmetic number, because the mean of its divisors is an integer number (166347648).

Almost surely, 2^12642244160 is an apocalyptic number.

12642244160 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 12642244160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18630936576).

12642244160 is an abundant number, since it is smaller than the sum of its proper divisors (24619628992).

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

12642244160 is a wasteful number, since it uses less digits than its factorization.

12642244160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2501 (or 2491 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 12642244160 its reverse (6144224621), we get a palindrome (18786468781).

The spelling of 12642244160 in words is "twelve billion, six hundred forty-two million, two hundred forty-four thousand, one hundred sixty".