12048400 has 120 divisors (see below), whose sum is σ = 35733824. Its totient is φ = 3801600.

The previous prime is 12048397. The next prime is 12048401. The reversal of 12048400 is 484021.

It is not an unprimeable number, because it can be changed into a prime (12048401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36235 + ... + 36565.

Almost surely, 2^12048400 is an apocalyptic number.

12048400 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 12048400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17866912).

12048400 is an abundant number, since it is smaller than the sum of its proper divisors (23685424).

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

12048400 is a wasteful number, since it uses less digits than its factorization.

12048400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 12048400 is about 3471.0805234105. The cubic root of 12048400 is about 229.2502365550.

It can be divided in two parts, 1204 and 8400, that added together give a square (9604 = 98²).

The spelling of 12048400 in words is "twelve million, forty-eight thousand, four hundred".