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12201122112 = 263503126337
BaseRepresentation
bin10110101110011111…
…00101100101000000
31011111022120020000120
423113033211211000
5144441441401422
65334412220240
7611232553404
oct132717454500
934438506016
1012201122112
1151a12406a3
12244616a680
1311c5a227aa
1483a613104
154b624c45c
hex2d73e5940

12201122112 has 56 divisors (see below), whose sum is σ = 32346570816. Its totient is φ = 4058923008.

The previous prime is 12201122081. The next prime is 12201122113. The reversal of 12201122112 is 21122110221.

12201122112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12201122091 and 12201122100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201122113) 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 7 ways as a sum of consecutive naturals, for example, 33408 + ... + 159744.

It is an arithmetic number, because the mean of its divisors is an integer number (577617336).

Almost surely, 212201122112 is an apocalyptic number.

12201122112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12201122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16173285408).

12201122112 is an abundant number, since it is smaller than the sum of its proper divisors (20145448704).

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

12201122112 is a wasteful number, since it uses less digits than its factorization.

12201122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126855 (or 126845 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12201122112 its reverse (21122110221), we get a palindrome (33323232333).

The spelling of 12201122112 in words is "twelve billion, two hundred one million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 503 1006 1509 2012 3018 4024 6036 8048 12072 16096 24144 32192 48288 96576 126337 252674 379011 505348 758022 1010696 1516044 2021392 3032088 4042784 6064176 8085568 12128352 24256704 63547511 127095022 190642533 254190044 381285066 508380088 762570132 1016760176 1525140264 2033520352 3050280528 4067040704 6100561056 12201122112