12211022000 has 160 divisors (see below), whose sum is σ = 31003015680. Its totient is φ = 4642809600.

The previous prime is 12211021993. The next prime is 12211022003. The reversal of 12211022000 is 22011221.

It is a happy number.

It is a super-3 number, since 3×12211022000³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12211022003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8233259 + ... + 8234741.

It is an arithmetic number, because the mean of its divisors is an integer number (193768848).

Almost surely, 2^12211022000 is an apocalyptic number.

12211022000 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 12211022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15501507840).

12211022000 is an abundant number, since it is smaller than the sum of its proper divisors (18791993680).

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

12211022000 is a wasteful number, since it uses less digits than its factorization.

12211022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1708 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12211022000 its reverse (22011221), we get a palindrome (12233033221).

The spelling of 12211022000 in words is "twelve billion, two hundred eleven million, twenty-two thousand".