12442320 has 120 divisors (see below), whose sum is σ = 45613152. Its totient is φ = 3014400.

The previous prime is 12442319. The next prime is 12442327. The reversal of 12442320 is 2324421.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×12442320² = 309622653964800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12442293 and 12442302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12442327) 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, 7135 + ... + 8705.

Almost surely, 2^12442320 is an apocalyptic number.

12442320 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 12442320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22806576).

12442320 is an abundant number, since it is smaller than the sum of its proper divisors (33170832).

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

12442320 is a wasteful number, since it uses less digits than its factorization.

12442320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 12442320 is about 3527.3672902038. The cubic root of 12442320 is about 231.7219220774.

Adding to 12442320 its reverse (2324421), we get a palindrome (14766741).

The spelling of 12442320 in words is "twelve million, four hundred forty-two thousand, three hundred twenty".