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12213123321300 = 223521117217702733
BaseRepresentation
bin1011000110111001011011…
…1000001000110111010100
31121020120012120012120202220
42301232112320020313110
53100044434032240200
641550344214302340
72400240403240326
oct261562670106724
947216176176686
1012213123321300
1139896137a0590
121452b9a3579b0
136a79007cb325
1430319296b616
15162a585564a0
hexb1b96e08dd4

12213123321300 has 144 divisors (see below), whose sum is σ = 40816650192192. Its totient is φ = 2786594969600.

The previous prime is 12213123321281. The next prime is 12213123321349. The reversal of 12213123321300 is 312332131221.

12213123321300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122131233213002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108795267 + ... + 108907466.

It is an arithmetic number, because the mean of its divisors is an integer number (283448959668).

Almost surely, 212213123321300 is an apocalyptic number.

12213123321300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12213123321300 is an abundant number, since it is smaller than the sum of its proper divisors (28603526870892).

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

12213123321300 is a wasteful number, since it uses less digits than its factorization.

12213123321300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217702778 (or 217702771 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 12213123321300 its reverse (312332131221), we get a palindrome (12525455452521).

It can be divided in two parts, 12 and 213123321300, that added together give a palindrome (213123321312).

The spelling of 12213123321300 in words is "twelve trillion, two hundred thirteen billion, one hundred twenty-three million, three hundred twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 25 30 33 34 44 50 51 55 60 66 68 75 85 100 102 110 132 150 165 170 187 204 220 255 275 300 330 340 374 425 510 550 561 660 748 825 850 935 1020 1100 1122 1275 1650 1700 1870 2244 2550 2805 3300 3740 4675 5100 5610 9350 11220 14025 18700 28050 56100 217702733 435405466 653108199 870810932 1088513665 1306216398 2177027330 2394730063 2612432796 3265540995 3700946461 4354054660 4789460126 5442568325 6531081990 7184190189 7401892922 9578920252 10885136650 11102839383 11973650315 13062163980 14368380378 14803785844 16327704975 18504732305 21770273300 22205678766 23947300630 28736760756 32655409950 35920950945 37009464610 40710411071 44411357532 47894601260 55514196915 59868251575 65310819900 71841901890 74018929220 81420822142 92523661525 111028393830 119736503150 122131233213 143683803780 162841644284 179604754725 185047323050 203552055355 222056787660 239473006300 244262466426 277570984575 359209509450 370094646100 407104110710 488524932852 555141969150 610656166065 718419018900 814208221420 1017760276775 1110283938300 1221312332130 2035520553550 2442624664260 3053280830325 4071041107100 6106561660650 12213123321300