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12012112022211 = 3274318959233881
BaseRepresentation
bin1010111011001100100110…
…1010111000101011000011
31120112100100201222120201200
42232303021222320223003
53033301301134202321
641314142120432243
72346563222342430
oct256631152705303
946470321876650
1012012112022211
113911343099414
121420040018683
13691977b17032
142d756443ab87
1515c6e141cd26
hexaecc9ab8ac3

12012112022211 has 48 divisors (see below), whose sum is σ = 20291826846720. Its totient is φ = 6704052324480.

The previous prime is 12012112022203. The next prime is 12012112022213. The reversal of 12012112022211 is 11222021121021.

12012112022211 is a `hidden beast` number, since 1 + 201 + 211 + 20 + 22 + 211 = 666.

It is not a de Polignac number, because 12012112022211 - 23 = 12012112022203 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12012112022213) 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 47 ways as a sum of consecutive naturals, for example, 51242991 + ... + 51476871.

It is an arithmetic number, because the mean of its divisors is an integer number (422746392640).

Almost surely, 212012112022211 is an apocalyptic number.

12012112022211 is a deficient number, since it is larger than the sum of its proper divisors (8279714824509).

12012112022211 is a wasteful number, since it uses less digits than its factorization.

12012112022211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252896 (or 252893 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12012112022211 its reverse (11222021121021), we get a palindrome (23234133143232).

The spelling of 12012112022211 in words is "twelve trillion, twelve billion, one hundred twelve million, twenty-two thousand, two hundred eleven".

Divisors: 1 3 7 9 21 43 63 129 301 387 903 2709 18959 56877 132713 170631 233881 398139 701643 815237 1194417 1637167 2104929 2445711 4911501 5706659 7337133 10056883 14734503 17119977 30170649 51359931 70398181 90511947 211194543 633583629 4434149879 13302449637 31039049153 39907348911 93117147459 190668444797 279351442377 572005334391 1334679113579 1716016003173 4004037340737 12012112022211