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12001109112 = 23323119128151
BaseRepresentation
bin10110010110101001…
…00110010001111000
31010222101012111202200
423023110212101320
5144034240442422
65302505230200
7603253513206
oct131324462170
933871174680
1012001109112
1150a93499a3
1223ab192360
1311934625c5
1481bc2a076
154a38de2ac
hex2cb526478

12001109112 has 96 divisors (see below), whose sum is σ = 33728348160. Its totient is φ = 3850920000.

The previous prime is 12001109101. The next prime is 12001109117. The reversal of 12001109112 is 21190110021.

It is a happy number.

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 (12001109117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 412237 + ... + 440387.

It is an arithmetic number, because the mean of its divisors is an integer number (351336960).

Almost surely, 212001109112 is an apocalyptic number.

12001109112 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 12001109112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16864174080).

12001109112 is an abundant number, since it is smaller than the sum of its proper divisors (21727239048).

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

12001109112 is a wasteful number, since it uses less digits than its factorization.

12001109112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28385 (or 28378 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 12001109112 its reverse (21190110021), we get a palindrome (33191219133).

The spelling of 12001109112 in words is "twelve billion, one million, one hundred nine thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 191 248 279 372 382 558 573 744 764 1116 1146 1528 1719 2232 2292 3438 4584 5921 6876 11842 13752 17763 23684 28151 35526 47368 53289 56302 71052 84453 106578 112604 142104 168906 213156 225208 253359 337812 426312 506718 675624 872681 1013436 1745362 2026872 2618043 3490724 5236086 5376841 6981448 7854129 10472172 10753682 15708258 16130523 20944344 21507364 31416516 32261046 43014728 48391569 62833032 64522092 96783138 129044184 166682071 193566276 333364142 387132552 500046213 666728284 1000092426 1333456568 1500138639 2000184852 3000277278 4000369704 6000554556 12001109112