12221011021000 has 128 divisors (see below), whose sum is σ = 28662339888000. Its totient is φ = 4877276064000.

The previous prime is 12221011020847. The next prime is 12221011021007. The reversal of 12221011021000 is 12011012221.

It is a super-2 number, since 2×12221011021000² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12221011021007) 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, 892624155 + ... + 892637845.

It is an arithmetic number, because the mean of its divisors is an integer number (223924530375).

Almost surely, 2^{12221011021000} is an apocalyptic number.

12221011021000 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 12221011021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14331169944000).

12221011021000 is an abundant number, since it is smaller than the sum of its proper divisors (16441328867000).

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

12221011021000 is a wasteful number, since it uses less digits than its factorization.

12221011021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15680 (or 15666 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12221011021000 its reverse (12011012221), we get a palindrome (12233022033221).

The spelling of 12221011021000 in words is "twelve trillion, two hundred twenty-one billion, eleven million, twenty-one thousand".