12122611200 has 480 divisors, whose sum is σ = 50862577920. Its totient is φ = 2770329600.

The previous prime is 12122611187. The next prime is 12122611229. The reversal of 12122611200 is 211622121.

12122611200 is a `hidden beast` number, since 12 + 1 + 22 + 611 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2416695 + ... + 2421705.

It is an arithmetic number, because the mean of its divisors is an integer number (105963704).

Almost surely, 2^12122611200 is an apocalyptic number.

12122611200 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 12122611200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25431288960).

12122611200 is an abundant number, since it is smaller than the sum of its proper divisors (38739966720).

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

12122611200 is an equidigital number, since it uses as much as digits as its factorization.

12122611200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5055 (or 5028 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The spelling of 12122611200 in words is "twelve billion, one hundred twenty-two million, six hundred eleven thousand, two hundred".