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12112233312 = 2535322710487
BaseRepresentation
bin10110100011111001…
…00000001101100000
31011021010022012111210
423101330200031200
5144301212431222
65321515110120
7606103166364
oct132174401540
934233265453
1012112233312
115156049183
122420442340
1311b049c57a
1482c8b52a4
154ad53ed0c
hex2d1f20360

12112233312 has 96 divisors (see below), whose sum is σ = 32540320512. Its totient is φ = 3943407104.

The previous prime is 12112233299. The next prime is 12112233317. The reversal of 12112233312 is 21333221121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12112233317) 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, 1149733 + ... + 1160219.

It is an arithmetic number, because the mean of its divisors is an integer number (338961672).

Almost surely, 212112233312 is an apocalyptic number.

12112233312 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 12112233312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16270160256).

12112233312 is an abundant number, since it is smaller than the sum of its proper divisors (20428087200).

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

12112233312 is a wasteful number, since it uses less digits than its factorization.

12112233312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10780 (or 10772 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

Adding to 12112233312 its reverse (21333221121), we get a palindrome (33445454433).

The spelling of 12112233312 in words is "twelve billion, one hundred twelve million, two hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 227 318 424 454 636 681 848 908 1272 1362 1696 1816 2544 2724 3632 5088 5448 7264 10487 10896 12031 20974 21792 24062 31461 36093 41948 48124 62922 72186 83896 96248 125844 144372 167792 192496 251688 288744 335584 384992 503376 555811 577488 1006752 1111622 1154976 1667433 2223244 2380549 3334866 4446488 4761098 6669732 7141647 8892976 9522196 13339464 14283294 17785952 19044392 26678928 28566588 38088784 53357856 57133176 76177568 114266352 126169097 228532704 252338194 378507291 504676388 757014582 1009352776 1514029164 2018705552 3028058328 4037411104 6056116656 12112233312