12848400 has 180 divisors, whose sum is σ = 46174128. Its totient is φ = 3306240.

The previous prime is 12848399. The next prime is 12848417. The reversal of 12848400 is 484821.

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 154759 + ... + 154841.

Almost surely, 2^12848400 is an apocalyptic number.

12848400 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 12848400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23087064).

12848400 is an abundant number, since it is smaller than the sum of its proper divisors (33325728).

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

12848400 is a wasteful number, since it uses less digits than its factorization.

12848400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 12848400 is about 3584.4664874985. The cubic root of 12848400 is about 234.2158866717.

The spelling of 12848400 in words is "twelve million, eight hundred forty-eight thousand, four hundred".