12355224 has 64 divisors (see below), whose sum is σ = 35562240. Its totient is φ = 3504000.

The previous prime is 12355223. The next prime is 12355253. The reversal of 12355224 is 42255321.

It is a Cunningham number, because it is equal to 3515²-1.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 12355194 and 12355203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12355223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42022 + ... + 42314.

It is an arithmetic number, because the mean of its divisors is an integer number (555660).

Almost surely, 2^12355224 is an apocalyptic number.

12355224 is a gapful number since it is divisible by the number (14) 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 12355224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17781120).

12355224 is an abundant number, since it is smaller than the sum of its proper divisors (23207016).

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

12355224 is a wasteful number, since it uses less digits than its factorization.

12355224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 556 counting only the distinct ones).

The product of its digits is 2400, while the sum is 24.

The square root of 12355224 is about 3514.9998577525. Note that the first 3 decimals coincide. The cubic root of 12355224 is about 231.1799725631.

The spelling of 12355224 in words is "twelve million, three hundred fifty-five thousand, two hundred twenty-four".