12262320 has 160 divisors (see below), whose sum is σ = 48330240. Its totient is φ = 2799360.

The previous prime is 12262303. The next prime is 12262333. The reversal of 12262320 is 2326221.

12262320 is a `hidden beast` number, since 1 + 22 + 623 + 20 = 666.

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 = 12262293 and 12262302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14715 + ... + 15525.

It is an arithmetic number, because the mean of its divisors is an integer number (302064).

Almost surely, 2^12262320 is an apocalyptic number.

12262320 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 12262320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24165120).

12262320 is an abundant number, since it is smaller than the sum of its proper divisors (36067920).

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

12262320 is a wasteful number, since it uses less digits than its factorization.

12262320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 12262320 is about 3501.7595577081. The cubic root of 12262320 is about 230.5990684043.

Adding to 12262320 its reverse (2326221), we get a palindrome (14588541).

The spelling of 12262320 in words is "twelve million, two hundred sixty-two thousand, three hundred twenty".