12504216120 has 256 divisors, whose sum is σ = 41941877760. Its totient is φ = 2956800000.

The previous prime is 12504216107. The next prime is 12504216157. The reversal of 12504216120 is 2161240521.

12504216120 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 (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9465060 + ... + 9466380.

It is an arithmetic number, because the mean of its divisors is an integer number (163835460).

Almost surely, 2^12504216120 is an apocalyptic number.

12504216120 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 12504216120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20970938880).

12504216120 is an abundant number, since it is smaller than the sum of its proper divisors (29437661640).

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

12504216120 is a wasteful number, since it uses less digits than its factorization.

12504216120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 12504216120 its reverse (2161240521), we get a palindrome (14665456641).

The spelling of 12504216120 in words is "twelve billion, five hundred four million, two hundred sixteen thousand, one hundred twenty".