20221121000 has 64 divisors (see below), whose sum is σ = 47461152960. Its totient is φ = 8063880000.

The previous prime is 20221120967. The next prime is 20221121021. The reversal of 20221121000 is 12112202.

It is a happy number.

It is a super-4 number, since 4×20221121000⁴ (a number of 42 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300455 + ... + 361545.

It is an arithmetic number, because the mean of its divisors is an integer number (741580515).

Almost surely, 2^20221121000 is an apocalyptic number.

20221121000 is a gapful number since it is divisible by the number (20) 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 20221121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23730576480).

20221121000 is an abundant number, since it is smaller than the sum of its proper divisors (27240031960).

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

20221121000 is a wasteful number, since it uses less digits than its factorization.

20221121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61443 (or 61429 counting only the distinct ones).

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

Adding to 20221121000 its reverse (12112202), we get a palindrome (20233233202).

The spelling of 20221121000 in words is "twenty billion, two hundred twenty-one million, one hundred twenty-one thousand".