12353040 has 320 divisors, whose sum is σ = 52377600. Its totient is φ = 2612736.

The previous prime is 12353023. The next prime is 12353051. The reversal of 12353040 is 4035321.

12353040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 287259 + ... + 287301.

It is an arithmetic number, because the mean of its divisors is an integer number (163680).

Almost surely, 2^12353040 is an apocalyptic number.

12353040 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 12353040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26188800).

12353040 is an abundant number, since it is smaller than the sum of its proper divisors (40024560).

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

12353040 is a wasteful number, since it uses less digits than its factorization.

12353040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 12353040 is about 3514.6891754464. The cubic root of 12353040 is about 231.1663500713.

Adding to 12353040 its reverse (4035321), we get a palindrome (16388361).

The spelling of 12353040 in words is "twelve million, three hundred fifty-three thousand, forty".