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12122114022 = 233233396221
BaseRepresentation
bin10110100101000100…
…01100011111100110
31011021210220012022000
423102202030133212
5144311230122042
65322510550130
7606253161204
oct132242143746
934253805260
1012122114022
115160687757
122423808346
1311b254ba45
1482dd28074
154ae34274c
hex2d288c7e6

12122114022 has 32 divisors (see below), whose sum is σ = 26949857760. Its totient is φ = 4038930720.

The previous prime is 12122114021. The next prime is 12122114023. The reversal of 12122114022 is 22041122121.

12122114022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12122114021) and next prime (12122114023).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12122113986 and 12122114004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122114021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77872 + ... + 174092.

It is an arithmetic number, because the mean of its divisors is an integer number (842183055).

Almost surely, 212122114022 is an apocalyptic number.

12122114022 is an abundant number, since it is smaller than the sum of its proper divisors (14827743738).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12122114022 is a wasteful number, since it uses less digits than its factorization.

12122114022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98565 (or 98559 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12122114022 its reverse (22041122121), we get a palindrome (34163236143).

The spelling of 12122114022 in words is "twelve billion, one hundred twenty-two million, one hundred fourteen thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 2333 4666 6999 13998 20997 41994 62991 96221 125982 192442 288663 577326 865989 1731978 2597967 5195934 224483593 448967186 673450779 1346901558 2020352337 4040704674 6061057011 12122114022