12002560 has 36 divisors (see below), whose sum is σ = 28752948. Its totient is φ = 4800512.

The previous prime is 12002519. The next prime is 12002579. The reversal of 12002560 is 6520021.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2663424 + 9339136 = 1632^2 + 3056^2 .

It is a super-2 number, since 2×12002560² = 288122893107200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3409 + ... + 5968.

It is an arithmetic number, because the mean of its divisors is an integer number (798693).

Almost surely, 2^12002560 is an apocalyptic number.

12002560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002560 is an abundant number, since it is smaller than the sum of its proper divisors (16750388).

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

12002560 is an frugal number, since it uses more digits than its factorization.

12002560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9398 (or 9384 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 12002560 is about 3464.4710996052. The cubic root of 12002560 is about 228.9591277334.

Adding to 12002560 its reverse (6520021), we get a palindrome (18522581).

The spelling of 12002560 in words is "twelve million, two thousand, five hundred sixty".