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12122011001121 = 3729223332326861
BaseRepresentation
bin1011000001100110000000…
…1010001110000100100001
31120220212000210022011012220
42300121200022032010201
53042101334304013441
641440435221141253
72360533506265650
oct260314012160441
946825023264186
1012122011001121
113953a0920a91a
1214393b0b5a829
1369c140403738
142dc9cc045197
151604c470d466
hexb066028e121

12122011001121 has 64 divisors (see below), whose sum is σ = 19200768491520. Its totient is φ = 6655763600640.

The previous prime is 12122011001071. The next prime is 12122011001131. The reversal of 12122011001121 is 12110011022121.

It is a happy number.

It is not a de Polignac number, because 12122011001121 - 211 = 12122010999073 is a prime.

It is a super-2 number, since 2×121220110011212 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12122011001121.

It is not an unprimeable number, because it can be changed into a prime (12122011001131) 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, 451273231 + ... + 451300091.

It is an arithmetic number, because the mean of its divisors is an integer number (300012007680).

Almost surely, 212122011001121 is an apocalyptic number.

It is an amenable number.

12122011001121 is a deficient number, since it is larger than the sum of its proper divisors (7078757490399).

12122011001121 is a wasteful number, since it uses less digits than its factorization.

12122011001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30446.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12122011001121 its reverse (12110011022121), we get a palindrome (24232022023242).

The spelling of 12122011001121 in words is "twelve trillion, one hundred twenty-two billion, eleven million, one thousand, one hundred twenty-one".

Divisors: 1 3 7 21 29 87 203 223 609 669 1561 3323 4683 6467 9969 19401 23261 26861 45269 69783 80583 96367 135807 188027 289101 564081 674569 741029 778969 2023707 2223087 2336907 5187203 5452783 5990003 15561609 16358349 17970009 21489841 41930021 64469523 89259103 125790063 150428887 173710087 267777309 451286661 521130261 624813721 1215970609 1874441163 2588513987 3647911827 7765541961 18119597909 19904779969 54358793727 59714339907 139333459783 418000379349 577238619101 1731715857303 4040670333707 12122011001121