12073600 has 192 divisors, whose sum is σ = 37944000. Its totient is φ = 3763200.

The previous prime is 12073591. The next prime is 12073609. The reversal of 12073600 is 637021.

It is an interprime number because it is at equal distance from previous prime (12073591) and next prime (12073609).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12073609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1097595 + ... + 1097605.

It is an arithmetic number, because the mean of its divisors is an integer number (197625).

Almost surely, 2^12073600 is an apocalyptic number.

12073600 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 12073600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18972000).

12073600 is an abundant number, since it is smaller than the sum of its proper divisors (25870400).

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

12073600 is an equidigital number, since it uses as much as digits as its factorization.

12073600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 12073600 is about 3474.7086208774. The cubic root of 12073600 is about 229.4099557682.

The spelling of 12073600 in words is "twelve million, seventy-three thousand, six hundred".