12953280 has 112 divisors (see below), whose sum is σ = 41842944. Its totient is φ = 3394560.

The previous prime is 12953279. The next prime is 12953287. The reversal of 12953280 is 8235921.

It is a happy number.

12953280 is nontrivially palindromic in base 13.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12953287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98815 + ... + 98945.

Almost surely, 2^12953280 is an apocalyptic number.

12953280 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 12953280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20921472).

12953280 is an abundant number, since it is smaller than the sum of its proper divisors (28889664).

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

12953280 is a wasteful number, since it uses less digits than its factorization.

12953280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 12953280 is about 3599.0665456476. The cubic root of 12953280 is about 234.8514528237.

The spelling of 12953280 in words is "twelve million, nine hundred fifty-three thousand, two hundred eighty".