20221222221000 has 768 divisors, whose sum is σ = 71694369976320. Its totient is φ = 5134579200000.

The previous prime is 20221222220971. The next prime is 20221222221077. The reversal of 20221222221000 is 12222212202.

20221222221000 is a `hidden beast` number, since 2 + 0 + 221 + 222 + 221 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×20221222221000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4705890852 + ... + 4705895148.

It is an arithmetic number, because the mean of its divisors is an integer number (93352044240).

Almost surely, 2^{20221222221000} is an apocalyptic number.

20221222221000 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 20221222221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35847184988160).

20221222221000 is an abundant number, since it is smaller than the sum of its proper divisors (51473147755320).

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

20221222221000 is a wasteful number, since it uses less digits than its factorization.

20221222221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4623 (or 4606 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20221222221000 its reverse (12222212202), we get a palindrome (20233444433202).

The spelling of 20221222221000 in words is "twenty trillion, two hundred twenty-one billion, two hundred twenty-two million, two hundred twenty-one thousand".