12008065822200 has 1080 divisors, whose sum is σ = 49732577235000. Its totient is φ = 2677459276800.

The previous prime is 12008065822171. The next prime is 12008065822243. The reversal of 12008065822200 is 222856080021.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-3 number, since 3×12008065822200³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 1334373301 + ... + 1334382299.

It is an arithmetic number, because the mean of its divisors is an integer number (46048682625).

Almost surely, 2^{12008065822200} is an apocalyptic number.

12008065822200 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 12008065822200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24866288617500).

12008065822200 is an abundant number, since it is smaller than the sum of its proper divisors (37724511412800).

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

12008065822200 is a wasteful number, since it uses less digits than its factorization.

12008065822200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9123 (or 9057 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 12008065822200 in words is "twelve trillion, eight billion, sixty-five million, eight hundred twenty-two thousand, two hundred".