12220120011000 has 256 divisors, whose sum is σ = 41771381184000. Its totient is φ = 2949737088000.

The previous prime is 12220120010899. The next prime is 12220120011023. The reversal of 12220120011000 is 11002102221.

It is a super-3 number, since 3×12220120011000³ (a number of 40 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6894351 + ... + 8483649.

It is an arithmetic number, because the mean of its divisors is an integer number (163169457750).

Almost surely, 2^{12220120011000} is an apocalyptic number.

12220120011000 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 12220120011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20885690592000).

12220120011000 is an abundant number, since it is smaller than the sum of its proper divisors (29551261173000).

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

12220120011000 is a wasteful number, since it uses less digits than its factorization.

12220120011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589567 (or 1589553 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12220120011000 its reverse (11002102221), we get a palindrome (12231122113221).

The spelling of 12220120011000 in words is "twelve trillion, two hundred twenty billion, one hundred twenty million, eleven thousand".