12322880 has 56 divisors (see below), whose sum is σ = 29721048. Its totient is φ = 4866048.

The previous prime is 12322861. The next prime is 12322889. The reversal of 12322880 is 8822321.

12322880 = T₂₅₅ + T₂₅₆ + ... + T₄₄₈.

It can be written as a sum of positive squares in 4 ways, for example, as 1721344 + 10601536 = 1312^2 + 3256^2 .

It is not an unprimeable number, because it can be changed into a prime (12322889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30842 + ... + 31238.

It is an arithmetic number, because the mean of its divisors is an integer number (530733).

Almost surely, 2^12322880 is an apocalyptic number.

12322880 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 12322880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14860524).

12322880 is an abundant number, since it is smaller than the sum of its proper divisors (17398168).

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

12322880 is an equidigital number, since it uses as much as digits as its factorization.

12322880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 12322880 is about 3510.3959890588. The cubic root of 12322880 is about 230.9780655447.

The spelling of 12322880 in words is "twelve million, three hundred twenty-two thousand, eight hundred eighty".