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12332122320 = 2435717431797
BaseRepresentation
bin10110111110000110…
…10100000011010000
31011211110001201112010
423133003110003100
5200224010403240
65355412102520
7614413211250
oct133703240320
934743051463
1012332122320
115259186031
122482004a40
131216bcb5cb
1484db93960
154c29c7280
hex2df0d40d0

12332122320 has 160 divisors (see below), whose sum is σ = 46261110528. Its totient is φ = 2652954624.

The previous prime is 12332122289. The next prime is 12332122339. The reversal of 12332122320 is 2322123321.

It is a happy number.

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, 187339 + ... + 244458.

Almost surely, 212332122320 is an apocalyptic number.

12332122320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12332122320 is an abundant number, since it is smaller than the sum of its proper divisors (33928988208).

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

12332122320 is a wasteful number, since it uses less digits than its factorization.

12332122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431837 (or 431831 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 12332122320 its reverse (2322123321), we get a palindrome (14654245641).

The spelling of 12332122320 in words is "twelve billion, three hundred thirty-two million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 30 34 35 40 42 48 51 56 60 68 70 80 84 85 102 105 112 119 120 136 140 168 170 204 210 238 240 255 272 280 336 340 357 408 420 476 510 560 595 680 714 816 840 952 1020 1190 1360 1428 1680 1785 1904 2040 2380 2856 3570 4080 4760 5712 7140 9520 14280 28560 431797 863594 1295391 1727188 2158985 2590782 3022579 3454376 4317970 5181564 6045158 6476955 6908752 7340549 8635940 9067737 10363128 12090316 12953910 14681098 15112895 17271880 18135474 20726256 22021647 24180632 25907820 29362196 30225790 34543760 36270948 36702745 44043294 45338685 48361264 51383843 51815640 58724392 60451580 72541896 73405490 88086588 90677370 102767686 103631280 110108235 117448784 120903160 145083792 146810980 154151529 176173176 181354740 205535372 220216470 241806320 256919215 293621960 308303058 352346352 362709480 411070744 440432940 513838430 587243920 616606116 725418960 770757645 822141488 880865880 1027676860 1233212232 1541515290 1761731760 2055353720 2466424464 3083030580 4110707440 6166061160 12332122320