20220022002000 has 640 divisors, whose sum is σ = 67882565237760. Its totient is φ = 5171836723200.

The previous prime is 20220022001957. The next prime is 20220022002053. The reversal of 20220022002000 is 20022002202.

It is a super-2 number, since 2×20220022002000² (a number of 27 digits) contains 22 as substring.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31251965677 + ... + 31251966323.

It is an arithmetic number, because the mean of its divisors is an integer number (106066508184).

Almost surely, 2^{20220022002000} is an apocalyptic number.

20220022002000 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 20220022002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33941282618880).

20220022002000 is an abundant number, since it is smaller than the sum of its proper divisors (47662543235760).

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

20220022002000 is a wasteful number, since it uses less digits than its factorization.

20220022002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 20220022002000 its reverse (20022002202), we get a palindrome (20240044004202).

The spelling of 20220022002000 in words is "twenty trillion, two hundred twenty billion, twenty-two million, two thousand".