12214800 has 300 divisors, whose sum is σ = 48838020. Its totient is φ = 2903040.

The previous prime is 12214793. The next prime is 12214801. The reversal of 12214800 is 841221.

12214800 = T₉₇₆ + T₉₇₇ + ... + T₁₀₀₀.

It can be written as a sum of positive squares in 6 ways, for example, as 1245456 + 10969344 = 1116^2 + 3312^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (12214801) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 421186 + ... + 421214.

Almost surely, 2^12214800 is an apocalyptic number.

12214800 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 12214800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24419010).

12214800 is an abundant number, since it is smaller than the sum of its proper divisors (36623220).

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

12214800 is a wasteful number, since it uses less digits than its factorization.

12214800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 12214800 is about 3494.9678110106. The cubic root of 12214800 is about 230.3008036523.

The spelling of 12214800 in words is "twelve million, two hundred fourteen thousand, eight hundred".