12002400 has 108 divisors (see below), whose sum is σ = 42348852. Its totient is φ = 3198720.

The previous prime is 12002387. The next prime is 12002407. The reversal of 12002400 is 420021.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6367 + ... + 8033.

It is an arithmetic number, because the mean of its divisors is an integer number (392119).

Almost surely, 2^12002400 is an apocalyptic number.

12002400 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 12002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21174426).

12002400 is an abundant number, since it is smaller than the sum of its proper divisors (30346452).

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

12002400 is a wasteful number, since it uses less digits than its factorization.

12002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 12002400 is about 3464.4480079805. The cubic root of 12002400 is about 228.9581103498.

Adding to 12002400 its reverse (420021), we get a palindrome (12422421).

It can be divided in two parts, 1200 and 2400, that added together give a square (3600 = 60²).

The spelling of 12002400 in words is "twelve million, two thousand, four hundred".