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200112212000121 = 32319122966306431
BaseRepresentation
bin101101100000000001000001…
…010011111011110101111001
3222020112112121010022021122220
4231200001001103323311321
5202212114302233000441
61545334140414034253
760102426106504101
oct5540010123736571
9866475533267586
10200112212000121
1158842126839933
121a53b106aa8989
138787667b2c4a5
14375b6a88ca201
1518205a0474466
hexb600414fbd79

200112212000121 has 32 divisors (see below), whose sum is σ = 281096835563520. Its totient is φ = 126385360094400.

The previous prime is 200112212000111. The next prime is 200112212000149. The reversal of 200112212000121 is 121000212211002.

It is not a de Polignac number, because 200112212000121 - 219 = 200112211475833 is a prime.

It is a super-3 number, since 3×2001122120001213 (a number of 44 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 200112212000121.

It is not an unprimeable number, because it can be changed into a prime (200112212000111) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 30135225 + ... + 36171206.

It is an arithmetic number, because the mean of its divisors is an integer number (8784276111360).

Almost surely, 2200112212000121 is an apocalyptic number.

It is an amenable number.

200112212000121 is a deficient number, since it is larger than the sum of its proper divisors (80984623563399).

200112212000121 is a wasteful number, since it uses less digits than its factorization.

200112212000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66306877.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 200112212000121 its reverse (121000212211002), we get a palindrome (321112424211123).

The spelling of 200112212000121 in words is "two hundred trillion, one hundred twelve billion, two hundred twelve million, one hundred twenty-one", and thus it is an aban number.

Divisors: 1 3 23 69 191 229 573 687 4393 5267 13179 15801 43739 131217 1005997 3017991 66306431 198919293 1525047913 4575143739 12664528321 15184172699 37993584963 45552518097 291284151383 349235972077 873852454149 1047707916231 2900176985509 8700530956527 66704070666707 200112212000121