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12011032320 = 28357446839
BaseRepresentation
bin10110010111110100…
…11100111100000000
31011000001212122211220
423023322130330000
5144044311013240
65303502035040
7603434042640
oct131372347400
934001778756
1012011032320
115103a073a1
1223b2578a80
131195528221
1481d290520
154a46ee5d0
hex2cbe9cf00

12011032320 has 144 divisors (see below), whose sum is σ = 43840366080. Its totient is φ = 2745372672.

The previous prime is 12011032301. The next prime is 12011032333. The reversal of 12011032320 is 2323011021.

12011032320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12011032320.

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 15 ways as a sum of consecutive naturals, for example, 196540 + ... + 250299.

Almost surely, 212011032320 is an apocalyptic number.

12011032320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011032320 is an abundant number, since it is smaller than the sum of its proper divisors (31829333760).

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

12011032320 is an equidigital number, since it uses as much as digits as its factorization.

12011032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446870 (or 446856 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12011032320 its reverse (2323011021), we get a palindrome (14334043341).

The spelling of 12011032320 in words is "twelve billion, eleven million, thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 560 640 672 768 840 896 960 1120 1280 1344 1680 1792 1920 2240 2688 3360 3840 4480 5376 6720 8960 13440 26880 446839 893678 1340517 1787356 2234195 2681034 3127873 3574712 4468390 5362068 6255746 6702585 7149424 8936780 9383619 10724136 12511492 13405170 14298848 15639365 17873560 18767238 21448272 25022984 26810340 28597696 31278730 35747120 37534476 42896544 46918095 50045968 53620680 57195392 62557460 71494240 75068952 85793088 93836190 100091936 107241360 114390784 125114920 142988480 150137904 171586176 187672380 200183872 214482720 250229840 285976960 300275808 343172352 375344760 400367744 428965440 500459680 571953920 600551616 750689520 800735488 857930880 1000919360 1201103232 1501379040 1715861760 2001838720 2402206464 3002758080 4003677440 6005516160 12011032320