12451140 has 144 divisors (see below), whose sum is σ = 43203888. Its totient is φ = 2875392.

The previous prime is 12451097. The next prime is 12451141. The reversal of 12451140 is 4115421.

It can be written as a sum of positive squares in 8 ways, for example, as 2566404 + 9884736 = 1602^2 + 3144^2 .

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

It is not an unprimeable number, because it can be changed into a prime (12451141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39624 + ... + 39936.

It is an arithmetic number, because the mean of its divisors is an integer number (300027).

Almost surely, 2^12451140 is an apocalyptic number.

12451140 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 12451140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21601944).

12451140 is an abundant number, since it is smaller than the sum of its proper divisors (30752748).

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

12451140 is a wasteful number, since it uses less digits than its factorization.

12451140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 12451140 is about 3528.6172929350. The cubic root of 12451140 is about 231.7766627960.

Adding to 12451140 its reverse (4115421), we get a palindrome (16566561).

The spelling of 12451140 in words is "twelve million, four hundred fifty-one thousand, one hundred forty".