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22112122010121 = 32112133150384563
BaseRepresentation
bin1010000011100011000010…
…01011010111101000001001
32220021220020210122121122100
411001301201023113220021
510344241111213310441
6115010100230544013
74441355665624563
oct501614113275011
986256223577570
1022112122010121
11705577545a600
122591588b08009
13c4521986b1a0
14566337a6a333
152852c13becb6
hex141c612d7a09

22112122010121 has 72 divisors (see below), whose sum is σ = 39027480197888. Its totient is φ = 11971371931200.

The previous prime is 22112122010119. The next prime is 22112122010137. The reversal of 22112122010121 is 12101022121122.

22112122010121 is a `hidden beast` number, since 221 + 121 + 2 + 201 + 0 + 121 = 666.

It is not a de Polignac number, because 22112122010121 - 21 = 22112122010119 is a prime.

It is a super-3 number, since 3×221121220101213 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22112122010094 and 22112122010103.

It is not an unprimeable number, because it can be changed into a prime (22112122010171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24753415 + ... + 25631148.

Almost surely, 222112122010121 is an apocalyptic number.

It is an amenable number.

22112122010121 is a deficient number, since it is larger than the sum of its proper divisors (16915358187767).

22112122010121 is a wasteful number, since it uses less digits than its factorization.

22112122010121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50384635 (or 50384621 counting only the distinct ones).

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

Adding to 22112122010121 its reverse (12101022121122), we get a palindrome (34213144131243).

The spelling of 22112122010121 in words is "twenty-two trillion, one hundred twelve billion, one hundred twenty-two million, ten thousand, one hundred twenty-one".

Divisors: 1 3 9 11 13 31 33 39 93 99 117 121 143 279 341 363 403 429 1023 1089 1209 1287 1573 3069 3627 3751 4433 4719 11253 13299 14157 33759 39897 48763 146289 438867 50384563 151153689 453461067 554230193 654999319 1561921453 1662690579 1964997957 4685764359 4988071737 5894993871 6096532123 7204992509 14057293077 17181135983 18289596369 20304978889 21614977527 51543407949 54868789107 60914936667 64844932581 79254917599 154630223847 182744810001 188992495813 223354767779 237764752797 566977487439 670064303337 713294258391 1700932462317 2010192910011 2456902445569 7370707336707 22112122010121