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200212122020022 = 23273101409785017
BaseRepresentation
bin101101100001011110000100…
…011010011010100010110110
3222020220002111000122011102100
4231201132010122122202312
5202220233411214120042
61545452102404322530
760112564011612000
oct5541360432324266
9866802430564370
10200212122020022
11588805363a7612
121a55654a6a3446
138793bcaac6068
143762465a07370
151822e9b83824c
hexb6178469a8b6

200212122020022 has 192 divisors, whose sum is σ = 512139463056000. Its totient is φ = 56498543539200.

The previous prime is 200212122020011. The next prime is 200212122020039. The reversal of 200212122020022 is 220020221212002.

200212122020022 is a `hidden beast` number, since 200 + 2 + 1 + 21 + 220 + 200 + 22 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 200212122019977 and 200212122020004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 254649258 + ... + 255434274.

It is an arithmetic number, because the mean of its divisors is an integer number (2667393036750).

Almost surely, 2200212122020022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200212122020022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256069731528000).

200212122020022 is an abundant number, since it is smaller than the sum of its proper divisors (311927341035978).

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

200212122020022 is a wasteful number, since it uses less digits than its factorization.

200212122020022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785556 (or 785539 counting only the distinct ones).

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

Adding to 200212122020022 its reverse (220020221212002), we get a palindrome (420232343232024).

The spelling of 200212122020022 in words is "two hundred trillion, two hundred twelve billion, one hundred twenty-two million, twenty thousand, twenty-two".