12643120 has 80 divisors (see below), whose sum is σ = 34069248. Its totient is φ = 4273920.

The previous prime is 12643117. The next prime is 12643177. The reversal of 12643120 is 2134621.

12643120 = 613² + 614² + ... + 644².

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59815 + ... + 60025.

Almost surely, 2^12643120 is an apocalyptic number.

12643120 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 12643120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17034624).

12643120 is an abundant number, since it is smaller than the sum of its proper divisors (21426128).

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

12643120 is a wasteful number, since it uses less digits than its factorization.

12643120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 12643120 is about 3555.7165241341. The cubic root of 12643120 is about 232.9618214936.

Adding to 12643120 its reverse (2134621), we get a palindrome (14777741).

The spelling of 12643120 in words is "twelve million, six hundred forty-three thousand, one hundred twenty".