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12011210112 = 273114676089
BaseRepresentation
bin10110010111110110…
…01000010110000000
31011000002012200201210
423023323020112000
5144044332210422
65303505530120
7603435413166
oct131373102600
934002180653
1012011210112
115104018a30
1223b2643940
13119558b125
1481d2d9236
154a473710c
hex2cbec8580

12011210112 has 128 divisors (see below), whose sum is σ = 34885468800. Its totient is φ = 3631370240.

The previous prime is 12011210093. The next prime is 12011210117. The reversal of 12011210112 is 21101211021.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×120112101122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011210117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1969564 + ... + 1975652.

It is an arithmetic number, because the mean of its divisors is an integer number (272542725).

Almost surely, 212011210112 is an apocalyptic number.

12011210112 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 12011210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17442734400).

12011210112 is an abundant number, since it is smaller than the sum of its proper divisors (22874258688).

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

12011210112 is a wasteful number, since it uses less digits than its factorization.

12011210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6584 (or 6572 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12011210112 its reverse (21101211021), we get a palindrome (33112421133).

Subtracting 12011210112 from its reverse (21101211021), we obtain a palindrome (9090000909).

The spelling of 12011210112 in words is "twelve billion, eleven million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 467 528 704 934 1056 1401 1408 1868 2112 2802 3736 4224 5137 5604 6089 7472 10274 11208 12178 14944 15411 18267 20548 22416 24356 29888 30822 36534 41096 44832 48712 59776 61644 66979 73068 82192 89664 97424 123288 133958 146136 164384 179328 194848 200937 246576 267916 292272 328768 389696 401874 493152 535832 584544 657536 779392 803748 986304 1071664 1169088 1607496 1972608 2143328 2338176 2843563 3214992 4286656 5687126 6429984 8530689 8573312 11374252 12859968 17061378 22748504 25719936 31279193 34122756 45497008 62558386 68245512 90994016 93837579 125116772 136491024 181988032 187675158 250233544 272982048 363976064 375350316 500467088 545964096 750700632 1000934176 1091928192 1501401264 2001868352 3002802528 4003736704 6005605056 12011210112