20221221002000 has 160 divisors (see below), whose sum is σ = 49684155915264. Its totient is φ = 7958927808000.

The previous prime is 20221221001889. The next prime is 20221221002027. The reversal of 20221221002000 is 20012212202.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32029385 + ... + 32654615.

Almost surely, 2^{20221221002000} is an apocalyptic number.

20221221002000 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 20221221002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24842077957632).

20221221002000 is an abundant number, since it is smaller than the sum of its proper divisors (29462934913264).

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

20221221002000 is a wasteful number, since it uses less digits than its factorization.

20221221002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625514 (or 625498 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20221221002000 its reverse (20012212202), we get a palindrome (20241233214202).

The spelling of 20221221002000 in words is "twenty trillion, two hundred twenty-one billion, two hundred twenty-one million, two thousand".