12351040 has 56 divisors (see below), whose sum is σ = 31683960. Its totient is φ = 4558848.

The previous prime is 12351029. The next prime is 12351041. The reversal of 12351040 is 4015321.

12351040 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 4 ways, for example, as 627264 + 11723776 = 792^2 + 3424^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12351041) 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 7 ways as a sum of consecutive naturals, for example, 2676 + ... + 5644.

It is an arithmetic number, because the mean of its divisors is an integer number (565785).

Almost surely, 2^12351040 is an apocalyptic number.

12351040 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 12351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15841980).

12351040 is an abundant number, since it is smaller than the sum of its proper divisors (19332920).

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

12351040 is a wasteful number, since it uses less digits than its factorization.

12351040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2999 (or 2989 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 12351040 is about 3514.4046437484. The cubic root of 12351040 is about 231.1538738535.

Adding to 12351040 its reverse (4015321), we get a palindrome (16366361).

The spelling of 12351040 in words is "twelve million, three hundred fifty-one thousand, forty".