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12273082112 = 28292396917
BaseRepresentation
bin10110110111000100…
…00101111100000000
31011200022222011120202
423123202011330000
5200113402111422
65345502424332
7613065322334
oct133342057400
934608864522
1012273082112
115228920275
1224662920a8
1312078c9485
14845dc57c4
154bc713b92
hex2db885f00

12273082112 has 72 divisors (see below), whose sum is σ = 25452705600. Its totient is φ = 5899292672.

The previous prime is 12273082109. The next prime is 12273082127. The reversal of 12273082112 is 21128037221.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1770878 + ... + 1777794.

It is an arithmetic number, because the mean of its divisors is an integer number (353509800).

Almost surely, 212273082112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12273082112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12726352800).

12273082112 is an abundant number, since it is smaller than the sum of its proper divisors (13179623488).

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

12273082112 is an equidigital number, since it uses as much as digits as its factorization.

12273082112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7201 (or 7187 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The spelling of 12273082112 in words is "twelve billion, two hundred seventy-three million, eighty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 239 256 464 478 928 956 1856 1912 3712 3824 6917 6931 7424 7648 13834 13862 15296 27668 27724 30592 55336 55448 61184 110672 110896 200593 221344 221792 401186 442688 443584 802372 885376 887168 1604744 1653163 1770752 1774336 3209488 3306326 6418976 6612652 12837952 13225304 25675904 26450608 47941727 51351808 52901216 95883454 105802432 191766908 211604864 383533816 423209728 767067632 1534135264 3068270528 6136541056 12273082112