12330900 has 72 divisors (see below), whose sum is σ = 39650240. Its totient is φ = 3287520.

The previous prime is 12330893. The next prime is 12330907. The reversal of 12330900 is 903321.

12330900 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 an interprime number because it is at equal distance from previous prime (12330893) and next prime (12330907).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12330907) 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, 417 + ... + 4983.

Almost surely, 2^12330900 is an apocalyptic number.

12330900 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 12330900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19825120).

12330900 is an abundant number, since it is smaller than the sum of its proper divisors (27319340).

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

12330900 is a wasteful number, since it uses less digits than its factorization.

12330900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4590 (or 4577 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 12330900 is about 3511.5381245261. The cubic root of 12330900 is about 231.0281632048.

The spelling of 12330900 in words is "twelve million, three hundred thirty thousand, nine hundred".