12201600 has 192 divisors, whose sum is σ = 42497280. Its totient is φ = 3072000.

The previous prime is 12201599. The next prime is 12201611. The reversal of 12201600 is 610221.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 297580 + ... + 297620.

It is an arithmetic number, because the mean of its divisors is an integer number (221340).

Almost surely, 2^12201600 is an apocalyptic number.

12201600 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 12201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21248640).

12201600 is an abundant number, since it is smaller than the sum of its proper divisors (30295680).

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

12201600 is a wasteful number, since it uses less digits than its factorization.

12201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 12201600 is about 3493.0788711393. The cubic root of 12201600 is about 230.2178150833.

Adding to 12201600 its reverse (610221), we get a palindrome (12811821).

The spelling of 12201600 in words is "twelve million, two hundred one thousand, six hundred".