12322080 has 144 divisors (see below), whose sum is σ = 43243200. Its totient is φ = 3193344.

The previous prime is 12322067. The next prime is 12322081. The reversal of 12322080 is 8022321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12322081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61821 + ... + 62019.

It is an arithmetic number, because the mean of its divisors is an integer number (300300).

Almost surely, 2^12322080 is an apocalyptic number.

12322080 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 12322080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21621600).

12322080 is an abundant number, since it is smaller than the sum of its proper divisors (30921120).

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

12322080 is a wasteful number, since it uses less digits than its factorization.

12322080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 12322080 is about 3510.2820399506. The cubic root of 12322080 is about 230.9730670798.

The spelling of 12322080 in words is "twelve million, three hundred twenty-two thousand, eighty".