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111221220121121 = 11416727143131513
BaseRepresentation
bin11001010010011110110101…
…010100010001101000100001
3112120210122102001122201212102
4121102132311110101220201
5104034222024322333441
61032314153445140145
732266316342340125
oct3122366524215041
9476718361581772
10111221220121121
1132490722255370
12105835016ba655
134a0a167c81846
141d671c87db585
15ccd1bc32b69b
hex6527b5511a21

111221220121121 has 64 divisors (see below), whose sum is σ = 126909937631232. Its totient is φ = 96585540480000.

The previous prime is 111221220121117. The next prime is 111221220121147. The reversal of 111221220121121 is 121121022122111.

It is a happy number.

It is not a de Polignac number, because 111221220121121 - 22 = 111221220121117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 111221220121093 and 111221220121102.

It is not an unprimeable number, because it can be changed into a prime (111221220121021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3529360061 + ... + 3529391573.

It is an arithmetic number, because the mean of its divisors is an integer number (1982967775488).

Almost surely, 2111221220121121 is an apocalyptic number.

111221220121121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111221220121121 is a deficient number, since it is larger than the sum of its proper divisors (15688717510111).

111221220121121 is a wasteful number, since it uses less digits than its factorization.

111221220121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32334.

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 111221220121121 its reverse (121121022122111), we get a palindrome (232342242243232).

The spelling of 111221220121121 in words is "one hundred eleven trillion, two hundred twenty-one billion, two hundred twenty million, one hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 11 41 67 271 431 451 737 2747 2981 4741 11111 17671 18157 28877 30217 31513 116801 122221 194381 199727 317647 346643 744437 1183957 1284811 1292033 2111371 4788841 7825667 8188807 8540023 13023527 13582103 14212363 23225081 52677251 86082337 86566211 93940253 149403133 320852347 350140943 556866223 572181541 910000901 952228321 3529375817 3680749913 3851550373 6125528453 6293996951 10010009911 23459443181 37310036941 40488249043 150910746433 246610244171 258053874991 410410406351 1660018210763 2712712685881 10111020011011 111221220121121