12552120 has 192 divisors, whose sum is σ = 49533120. Its totient is φ = 2691072.

The previous prime is 12552097. The next prime is 12552121. The reversal of 12552120 is 2125521.

12552120 is a `hidden beast` number, since 125 + 521 + 20 = 666.

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 = 12552093 and 12552102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12552121) 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, 42694 + ... + 42986.

It is an arithmetic number, because the mean of its divisors is an integer number (257985).

Almost surely, 2^12552120 is an apocalyptic number.

12552120 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 12552120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24766560).

12552120 is an abundant number, since it is smaller than the sum of its proper divisors (36981000).

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

12552120 is a wasteful number, since it uses less digits than its factorization.

12552120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 12552120 is about 3542.8971195901. The cubic root of 12552120 is about 232.4015538816.

Adding to 12552120 its reverse (2125521), we get a palindrome (14677641).

It can be divided in two parts, 1255 and 2120, that added together give a cube (3375 = 15³).

The spelling of 12552120 in words is "twelve million, five hundred fifty-two thousand, one hundred twenty".