12018400 has 72 divisors (see below), whose sum is σ = 29857464. Its totient is φ = 4723200.

The previous prime is 12018353. The next prime is 12018401. The reversal of 12018400 is 481021.

It is a happy number.

12018400 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 (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12018401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66310 + ... + 66490.

It is an arithmetic number, because the mean of its divisors is an integer number (414687).

Almost surely, 2^12018400 is an apocalyptic number.

12018400 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 12018400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14928732).

12018400 is an abundant number, since it is smaller than the sum of its proper divisors (17839064).

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

12018400 is a wasteful number, since it uses less digits than its factorization.

12018400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 12018400 is about 3466.7564090948. The cubic root of 12018400 is about 229.0598039875.

Adding to 12018400 its reverse (481021), we get a palindrome (12499421).

The spelling of 12018400 in words is "twelve million, eighteen thousand, four hundred".