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12112313230320 = 2435971181440549
BaseRepresentation
bin1011000001000001111000…
…1000001010001111110000
31120212220222221020100121120
42300100132020022033300
53041422004141332240
641432153032222240
72360041261506462
oct260203610121760
946786887210546
1012112313230320
11394a892062106
12143754523a980
1369b256214914
142dc34c0b6132
1516010814ead0
hexb041e20a3f0

12112313230320 has 160 divisors (see below), whose sum is σ = 37967473051200. Its totient is φ = 3193937756160.

The previous prime is 12112313230309. The next prime is 12112313230363. The reversal of 12112313230320 is 2303231321121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27273406 + ... + 27713954.

It is an arithmetic number, because the mean of its divisors is an integer number (237296706570).

Almost surely, 212112313230320 is an apocalyptic number.

12112313230320 is a gapful number since it is divisible by the number (10) 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 12112313230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18983736525600).

12112313230320 is an abundant number, since it is smaller than the sum of its proper divisors (25855159820880).

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

12112313230320 is a wasteful number, since it uses less digits than its factorization.

12112313230320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441843 (or 441837 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 12112313230320 its reverse (2303231321121), we get a palindrome (14415544551441).

The spelling of 12112313230320 in words is "twelve trillion, one hundred twelve billion, three hundred thirteen million, two hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 97 120 194 240 291 388 485 582 776 970 1164 1181 1455 1552 1940 2328 2362 2910 3543 3880 4656 4724 5820 5905 7086 7760 9448 11640 11810 14172 17715 18896 23280 23620 28344 35430 47240 56688 70860 94480 114557 141720 229114 283440 343671 440549 458228 572785 687342 881098 916456 1145570 1321647 1374684 1718355 1762196 1832912 2202745 2291140 2643294 2749368 3436710 3524392 4405490 4582280 5286588 5498736 6608235 6873420 7048784 8810980 9164560 10573176 13216470 13746840 17621960 21146352 26432940 27493680 35243920 42733253 52865880 85466506 105731760 128199759 170933012 213666265 256399518 341866024 427332530 512799036 520288369 640998795 683732048 854665060 1025598072 1040576738 1281997590 1560865107 1709330120 2051196144 2081153476 2563995180 2601441845 3121730214 3418660240 4162306952 5127990360 5202883690 6243460428 7804325535 8324613904 10255980720 10405767380 12486920856 15608651070 20811534760 24973841712 31217302140 41623069520 50467971793 62434604280 100935943586 124869208560 151403915379 201871887172 252339858965 302807830758 403743774344 504679717930 605615661516 757019576895 807487548688 1009359435860 1211231323032 1514039153790 2018718871720 2422462646064 3028078307580 4037437743440 6056156615160 12112313230320