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12200928876 = 223243731011069
BaseRepresentation
bin10110101110011101…
…10110011001101100
31011111022012101221200
423113032312121230
5144441414211001
65334404125500
7611231120133
oct132716663154
934438171850
1012200928876
1151a11194a4
122446096890
1311c5985856
1483a5a291a
154b6210086
hex2d73b666c

12200928876 has 144 divisors (see below), whose sum is σ = 32337745440. Its totient is φ = 3875558400.

The previous prime is 12200928829. The next prime is 12200928893. The reversal of 12200928876 is 67882900221.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 11412870 + ... + 11413938.

Almost surely, 212200928876 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12200928876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16168872720).

12200928876 is an abundant number, since it is smaller than the sum of its proper divisors (20136816564).

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

12200928876 is a wasteful number, since it uses less digits than its factorization.

12200928876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 12200928876 in words is "twelve billion, two hundred million, nine hundred twenty-eight thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 43 73 86 101 129 146 172 202 219 258 292 303 387 404 438 516 606 657 774 876 909 1069 1212 1314 1548 1818 2138 2628 3139 3207 3636 4276 4343 6278 6414 7373 8686 9417 9621 12556 12828 13029 14746 17372 18834 19242 22119 26058 28251 29492 37668 38484 39087 44238 45967 52116 56502 66357 78037 78174 88476 91934 107969 113004 132714 137901 156074 156348 183868 215938 234111 265428 275802 312148 317039 323907 413703 431876 468222 551604 634078 647814 702333 827406 936444 951117 971721 1268156 1295628 1404666 1654812 1902234 1943442 2809332 2853351 3355591 3804468 3886884 4642667 5706702 6711182 7881737 9285334 10066773 11413404 13422364 13928001 15763474 18570668 20133546 23645211 27856002 30200319 31526948 40267092 41784003 47290422 55712004 60400638 70935633 83568006 94580844 120801276 141871266 167136012 283742532 338914691 677829382 1016744073 1355658764 2033488146 3050232219 4066976292 6100464438 12200928876