Search a number
-
+
12110112122112 = 2832113270717183
BaseRepresentation
bin1011000000111001101011…
…1011100110010100000000
31120212201022112110110210100
42300032122323212110000
53041403002200401422
641431150403002400
72356632603423414
oct260163273462400
946781275413710
1012110112122112
113949962645a14
121437030069400
1369ac951b5a24
142dc1bda2ad44
15160029cb47ac
hexb039aee6500

12110112122112 has 216 divisors, whose sum is σ = 35240497254144. Its totient is φ = 3999270223872.

The previous prime is 12110112122111. The next prime is 12110112122113. The reversal of 12110112122112 is 21122121101121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12110112122111) and next prime (12110112122113).

It is a super-2 number, since 2×121101121221122 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12110112122111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 704764273 + ... + 704781455.

Almost surely, 212110112122112 is an apocalyptic number.

12110112122112 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 12110112122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17620248627072).

12110112122112 is an abundant number, since it is smaller than the sum of its proper divisors (23130385132032).

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

12110112122112 is a wasteful number, since it uses less digits than its factorization.

12110112122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20025 (or 20008 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 12110112122112 its reverse (21122121101121), we get a palindrome (33232233223233).

The spelling of 12110112122112 in words is "twelve trillion, one hundred ten billion, one hundred twelve million, one hundred twenty-two thousand, one hundred twelve".