12384900 has 180 divisors, whose sum is σ = 44111760. Its totient is φ = 2980800.

The previous prime is 12384877. The next prime is 12384917. The reversal of 12384900 is 948321.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 89031 + ... + 89169.

Almost surely, 2^12384900 is an apocalyptic number.

12384900 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 12384900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22055880).

12384900 is an abundant number, since it is smaller than the sum of its proper divisors (31726860).

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

12384900 is a wasteful number, since it uses less digits than its factorization.

12384900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 12384900 is about 3519.2186632831. The cubic root of 12384900 is about 231.3649148850.

The spelling of 12384900 in words is "twelve million, three hundred eighty-four thousand, nine hundred".