12852400 has 120 divisors (see below), whose sum is σ = 35426304. Its totient is φ = 4435200.

The previous prime is 12852373. The next prime is 12852419. The reversal of 12852400 is 425821.

12852400 = 253² + 254² + ... + 379².

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101137 + ... + 101263.

Almost surely, 2^12852400 is an apocalyptic number.

12852400 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 12852400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17713152).

12852400 is an abundant number, since it is smaller than the sum of its proper divisors (22573904).

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

12852400 is a wasteful number, since it uses less digits than its factorization.

12852400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 12852400 is about 3585.0244071694. The cubic root of 12852400 is about 234.2401897325.

The spelling of 12852400 in words is "twelve million, eight hundred fifty-two thousand, four hundred".