12155200 has 84 divisors (see below), whose sum is σ = 30614112. Its totient is φ = 4748800.

The previous prime is 12155191. The next prime is 12155237. The reversal of 12155200 is 255121.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 113547 + ... + 113653.

Almost surely, 2^12155200 is an apocalyptic number.

12155200 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 12155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15307056).

12155200 is an abundant number, since it is smaller than the sum of its proper divisors (18458912).

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

12155200 is a wasteful number, since it uses less digits than its factorization.

12155200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 12155200 is about 3486.4308396984. The cubic root of 12155200 is about 229.9256218226.

The spelling of 12155200 in words is "twelve million, one hundred fifty-five thousand, two hundred".