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12000122011111 = 13331729575827
BaseRepresentation
bin1010111010011111111100…
…0000100111110111100111
31120111012102010122220120111
42232213333000213313213
53033102222213323421
641304440245113451
72345660132051023
oct256477700476747
946435363586514
1012000122011111
11390725003a633
1214198546b8887
136907b6a6c000
142d6b47c9d383
1515c23d9c1ee1
hexae9ff027de7

12000122011111 has 32 divisors (see below), whose sum is σ = 13047334292160. Its totient is φ = 11036463804288.

The previous prime is 12000122011109. The next prime is 12000122011123. The reversal of 12000122011111 is 11111022100021.

It is a happy number.

It is not a de Polignac number, because 12000122011111 - 21 = 12000122011109 is a prime.

It is a super-2 number, since 2×120001220111112 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12000122011091 and 12000122011100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000122011811) 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, 2059396780 + ... + 2059402606.

It is an arithmetic number, because the mean of its divisors is an integer number (407729196630).

Almost surely, 212000122011111 is an apocalyptic number.

12000122011111 is a deficient number, since it is larger than the sum of its proper divisors (1047212281049).

12000122011111 is an equidigital number, since it uses as much as digits as its factorization.

12000122011111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9140 (or 9114 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 12000122011111 its reverse (11111022100021), we get a palindrome (23111144111132).

It can be divided in two parts, 1200012 and 2011111, that added together give a palindrome (3211123).

The spelling of 12000122011111 in words is "twelve trillion, one hundred twenty-two million, eleven thousand, one hundred eleven".

Divisors: 1 13 169 317 2197 2957 4121 5827 38441 53573 75751 499733 696449 937369 984763 1847159 6496529 12185797 12801919 17230439 24013067 158415361 223995707 312169871 2059399693 2911944191 4058208323 5462049163 37855274483 71006639119 923086308547 12000122011111