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12233100122320 = 24571110511889527
BaseRepresentation
bin1011001000000011110110…
…0101100101100011010000
31121022110202210002020000011
42302000331211211203100
53100411342112403240
642003450354404304
72401545424242610
oct262007545454320
947273683066004
1012233100122320
1139970351148a0
121456a34590694
136a976544274c
14304129b34a40
1516332723d6ea
hexb203d9658d0

12233100122320 has 160 divisors (see below), whose sum is σ = 35493861390336. Its totient is φ = 3809284416000.

The previous prime is 12233100122251. The next prime is 12233100122357. The reversal of 12233100122320 is 2322100133221.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 12233100122291 and 12233100122300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5529397 + ... + 7418923.

Almost surely, 212233100122320 is an apocalyptic number.

12233100122320 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 12233100122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17746930695168).

12233100122320 is an abundant number, since it is smaller than the sum of its proper divisors (23260761268016).

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

12233100122320 is a wasteful number, since it uses less digits than its factorization.

12233100122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890609 (or 1890603 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 12233100122320 its reverse (2322100133221), we get a palindrome (14555200255541).

The spelling of 12233100122320 in words is "twelve trillion, two hundred thirty-three billion, one hundred million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1051 1232 1540 2102 3080 4204 5255 6160 7357 8408 10510 11561 14714 16816 21020 23122 29428 36785 42040 46244 57805 58856 73570 80927 84080 92488 115610 117712 147140 161854 184976 231220 294280 323708 404635 462440 588560 647416 809270 924880 1294832 1618540 1889527 3237080 3779054 6474160 7558108 9447635 13226689 15116216 18895270 20784797 26453378 30232432 37790540 41569594 52906756 66133445 75581080 83139188 103923985 105813512 132266890 145493579 151162160 166278376 207847970 211627024 264533780 290987158 332556752 415695940 529067560 581974316 727467895 831391880 1058135120 1163948632 1454935790 1662783760 1985892877 2327897264 2909871580 3971785754 5819743160 7943571508 9929464385 11639486320 13901250139 15887143016 19858928770 21844821647 27802500278 31774286032 39717857540 43689643294 55605000556 69506250695 79435715080 87379286588 109224108235 111210001112 139012501390 152913751529 158871430160 174758573176 218448216470 222420002224 278025002780 305827503058 349517146352 436896432940 556050005560 611655006116 764568757645 873792865880 1112100011120 1223310012232 1529137515290 1747585731760 2446620024464 3058275030580 6116550061160 12233100122320