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212111222111212 = 221012772087908197
BaseRepresentation
bin110000001110100111111110…
…000010111111101111101100
31000211000122010202201211011011
4300032213332002333233230
5210300212240330024322
62031042314503235004
762451346550560114
oct6016477602775754
91024018122654134
10212111222111212
1161648956176526
121b9586ab148a64
139148005412198
143a54348c30044
15197c77650e677
hexc0e9fe0bfbec

212111222111212 has 48 divisors (see below), whose sum is σ = 376403838124608. Its totient is φ = 104576226451200.

The previous prime is 212111222111209. The next prime is 212111222111213.

212111222111212 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2121112221112122 (a number of 29 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (212111222111213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 233097898 + ... + 234006094.

It is an arithmetic number, because the mean of its divisors is an integer number (7841746627596).

Almost surely, 2212111222111212 is an apocalyptic number.

It is an amenable number.

212111222111212 is a deficient number, since it is larger than the sum of its proper divisors (164292616013396).

212111222111212 is a wasteful number, since it uses less digits than its factorization.

212111222111212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910666 (or 910664 counting only the distinct ones).

The product of its digits is 128, while the sum is 22.

The spelling of 212111222111212 in words is "two hundred twelve trillion, one hundred eleven billion, two hundred twenty-two million, one hundred eleven thousand, two hundred twelve".

Divisors: 1 2 4 101 202 277 404 554 1108 2087 4174 8348 27977 55954 111908 210787 421574 578099 843148 908197 1156198 1816394 2312396 3632788 58387999 91727897 116775998 183455794 233551996 251570569 366911588 503141138 1006282276 1895407139 3790814278 7581628556 25408627469 50817254938 101634509876 191436121039 382872242078 525027777503 765744484156 1050055555006 2100111110012 53027805527803 106055611055606 212111222111212