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12211120211001 = 3376110916545359
BaseRepresentation
bin1011000110110001111101…
…1110111000010000111001
31121020101000222000001000120
42301230133132320100321
53100031333233223001
641545413340523453
72400136641132525
oct261543736702071
947211028001016
1012211120211001
11398878601a128
12145271b550589
136a767180536a
14303042902d85
1516298c77c236
hexb1b1f7b8439

12211120211001 has 32 divisors (see below), whose sum is σ = 17151581990400. Its totient is φ = 7719402228480.

The previous prime is 12211120210973. The next prime is 12211120211033. The reversal of 12211120211001 is 10011202111221.

It is a happy number.

It is not a de Polignac number, because 12211120211001 - 27 = 12211120210873 is a prime.

It is a super-4 number, since 4×122111202110014 (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12211120211201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7534641 + ... + 9010718.

It is an arithmetic number, because the mean of its divisors is an integer number (535986937200).

Almost surely, 212211120211001 is an apocalyptic number.

It is an amenable number.

12211120211001 is a deficient number, since it is larger than the sum of its proper divisors (4940461779399).

12211120211001 is a wasteful number, since it uses less digits than its factorization.

12211120211001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16545569.

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

Adding to 12211120211001 its reverse (10011202111221), we get a palindrome (22222322322222).

The spelling of 12211120211001 in words is "twelve trillion, two hundred eleven billion, one hundred twenty million, two hundred eleven thousand, one".

Divisors: 1 3 37 61 109 111 183 327 2257 4033 6649 6771 12099 19947 246013 738039 16545359 49636077 612178283 1009266899 1803444131 1836534849 3027800697 5410332393 37342875263 66727432847 110010091991 112028625789 200182298541 330030275973 4070373403667 12211120211001