12543120 has 80 divisors (see below), whose sum is σ = 43211520. Its totient is φ = 3344256.

The previous prime is 12543107. The next prime is 12543121. The reversal of 12543120 is 2134521.

12543120 is a `hidden beast` number, since 1 + 2 + 543 + 120 = 666.

12543120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 12543093 and 12543102.

It is not an unprimeable number, because it can be changed into a prime (12543121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 744 + ... + 5063.

It is an arithmetic number, because the mean of its divisors is an integer number (540144).

Almost surely, 2^12543120 is an apocalyptic number.

12543120 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 12543120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21605760).

12543120 is an abundant number, since it is smaller than the sum of its proper divisors (30668400).

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

12543120 is a wasteful number, since it uses less digits than its factorization.

12543120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5829 (or 5817 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 12543120 is about 3541.6267448730. The cubic root of 12543120 is about 232.3459958275.

Adding to 12543120 its reverse (2134521), we get a palindrome (14677641).

The spelling of 12543120 in words is "twelve million, five hundred forty-three thousand, one hundred twenty".