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12213031320 = 2332574846441
BaseRepresentation
bin10110101111111010…
…00001000110011000
31011112010222021101100
423113331001012120
5200003014000240
65335515351400
7611436024210
oct132775010630
934463867340
1012213031320
1151a7a35216
12244a152560
1311c8332369
1483c033240
154b7300e30
hex2d7f41198

12213031320 has 96 divisors (see below), whose sum is σ = 45362697120. Its totient is φ = 2791549440.

The previous prime is 12213031301. The next prime is 12213031427. The reversal of 12213031320 is 2313031221.

12213031320 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 12213031293 and 12213031302.

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 23 ways as a sum of consecutive naturals, for example, 2420701 + ... + 2425740.

It is an arithmetic number, because the mean of its divisors is an integer number (472528095).

Almost surely, 212213031320 is an apocalyptic number.

12213031320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12213031320 is an abundant number, since it is smaller than the sum of its proper divisors (33149665800).

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

12213031320 is a wasteful number, since it uses less digits than its factorization.

12213031320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4846465 (or 4846458 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12213031320 its reverse (2313031221), we get a palindrome (14526062541).

Subtracting from 12213031320 its reverse (2313031221), we obtain a palindrome (9900000099).

The spelling of 12213031320 in words is "twelve billion, two hundred thirteen million, thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 4846441 9692882 14539323 19385764 24232205 29078646 33925087 38771528 43617969 48464410 58157292 67850174 72696615 87235938 96928820 101775261 116314584 135700348 145393230 169625435 174471876 193857640 203550522 218089845 271400696 290786460 305325783 339250870 348943752 407101044 436179690 508876305 581572920 610651566 678501740 814202088 872359380 1017752610 1221303132 1357003480 1526628915 1744718760 2035505220 2442606264 3053257830 4071010440 6106515660 12213031320