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12232330320 = 2435741177589
BaseRepresentation
bin10110110010001101…
…01000110001010000
31011120111021202122010
423121012220301100
5200022434032240
65341445142520
7612062043420
oct133106506120
934514252563
1012232330320
115207916901
1224546baa40
1311cc32b6a2
14840818480
154b8d64280
hex2d91a8c50

12232330320 has 160 divisors (see below), whose sum is σ = 44394658560. Its totient is φ = 2727751680.

The previous prime is 12232330307. The next prime is 12232330333. The reversal of 12232330320 is 2303323221.

It is an interprime number because it is at equal distance from previous prime (12232330307) and next prime (12232330333).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19915 + ... + 157674.

It is an arithmetic number, because the mean of its divisors is an integer number (277466616).

Almost surely, 212232330320 is an apocalyptic number.

12232330320 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 12232330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22197329280).

12232330320 is an abundant number, since it is smaller than the sum of its proper divisors (32162328240).

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

12232330320 is a wasteful number, since it uses less digits than its factorization.

12232330320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177653 (or 177647 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 12232330320 its reverse (2303323221), we get a palindrome (14535653541).

The spelling of 12232330320 in words is "twelve billion, two hundred thirty-two million, three hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 41 42 48 56 60 70 80 82 84 105 112 120 123 140 164 168 205 210 240 246 280 287 328 336 410 420 492 560 574 615 656 820 840 861 984 1148 1230 1435 1640 1680 1722 1968 2296 2460 2870 3280 3444 4305 4592 4920 5740 6888 8610 9840 11480 13776 17220 22960 34440 68880 177589 355178 532767 710356 887945 1065534 1243123 1420712 1775890 2131068 2486246 2663835 2841424 3551780 3729369 4262136 4972492 5327670 6215615 7103560 7281149 7458738 8524272 9944984 10655340 12431230 14207120 14562298 14917476 18646845 19889968 21310680 21843447 24862460 29124596 29834952 36405745 37293690 42621360 43686894 49724920 50968043 58249192 59669904 72811490 74587380 87373788 99449840 101936086 109217235 116498384 145622980 149174760 152904129 174747576 203872172 218434470 254840215 291245960 298349520 305808258 349495152 407744344 436868940 509680430 582491920 611616516 764520645 815488688 873737880 1019360860 1223233032 1529041290 1747475760 2038721720 2446466064 3058082580 4077443440 6116165160 12232330320