12901504 has 144 divisors (see below), whose sum is σ = 34796790. Its totient is φ = 4730880.

The previous prime is 12901501. The next prime is 12901517. The reversal of 12901504 is 40510921.

It can be written as a sum of positive squares in only one way, i.e., 9486400 + 3415104 = 3080^2 + 1848^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12901501) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 758904 + ... + 758920.

Almost surely, 2^12901504 is an apocalyptic number.

12901504 is a gapful number since it is divisible by the number (14) 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 12901504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17398395).

12901504 is an abundant number, since it is smaller than the sum of its proper divisors (21895286).

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

12901504 is a wasteful number, since it uses less digits than its factorization.

12901504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 12901504 is about 3591.8663672247. The cubic root of 12901504 is about 234.5381240459.

The spelling of 12901504 in words is "twelve million, nine hundred one thousand, five hundred four".