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12002220112101 = 320992775168683
BaseRepresentation
bin1010111010100111110000…
…0100001111100011100101
31120111101211100121111001120
42232221330010033203211
53033121021322041401
641305424354444153
72346063126445362
oct256517404174345
946441740544046
1012002220112101
1139081273a099a
12141a13b293659
13690a5c64369b
142d6ca67b3469
1515c312cb1836
hexaea7c10f8e5

12002220112101 has 16 divisors (see below), whose sum is σ = 16011394291200. Its totient is φ = 7997263398000.

The previous prime is 12002220112027. The next prime is 12002220112111. The reversal of 12002220112101 is 10121102220021.

It is not a de Polignac number, because 12002220112101 - 221 = 12002218014949 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002220112111) 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 15 ways as a sum of consecutive naturals, for example, 174713706 + ... + 174782388.

It is an arithmetic number, because the mean of its divisors is an integer number (1000712143200).

Almost surely, 212002220112101 is an apocalyptic number.

It is an amenable number.

12002220112101 is a deficient number, since it is larger than the sum of its proper divisors (4009174179099).

12002220112101 is a wasteful number, since it uses less digits than its factorization.

12002220112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98536.

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

Adding to 12002220112101 its reverse (10121102220021), we get a palindrome (22123322332122).

The spelling of 12002220112101 in words is "twelve trillion, two billion, two hundred twenty million, one hundred twelve thousand, one hundred one".

Divisors: 1 3 2099 6297 27751 68683 83253 206049 58249349 144165617 174748047 432496851 1906021933 5718065799 4000740037367 12002220112101