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12200010111012 = 22329283208359471
BaseRepresentation
bin1011000110001000100101…
…0001001101100000100100
31121012022100200101110222210
42301202021101031200210
53044341110042023022
641540335100523420
72366264423630463
oct261421121154044
947168320343883
1012200010111012
113983aa4721609
12145053a850570
136a65c0b3bcb9
143026ab1729da
1516253c1e0a0c
hexb188944d824

12200010111012 has 96 divisors (see below), whose sum is σ = 29567042426880. Its totient is φ = 3910621599360.

The previous prime is 12200010110957. The next prime is 12200010111043. The reversal of 12200010111012 is 21011101000221.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 205112437 + ... + 205171907.

It is an arithmetic number, because the mean of its divisors is an integer number (307990025280).

Almost surely, 212200010111012 is an apocalyptic number.

12200010111012 is a gapful number since it is divisible by the number (12) 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 12200010111012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14783521213440).

12200010111012 is an abundant number, since it is smaller than the sum of its proper divisors (17367032315868).

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

12200010111012 is a wasteful number, since it uses less digits than its factorization.

12200010111012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61873 (or 61871 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12200010111012 its reverse (21011101000221), we get a palindrome (33211111111233).

The spelling of 12200010111012 in words is "twelve trillion, two hundred billion, ten million, one hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 283 348 566 849 1132 1698 2083 3396 4166 6249 8207 8332 12498 16414 24621 24996 32828 49242 59471 60407 98484 118942 120814 178413 181221 237884 241628 356826 362442 589489 713652 724884 1178978 1724659 1768467 2357956 3449318 3536934 5173977 6898636 7073868 10347954 16830293 17095181 20695908 33660586 34190362 50490879 51285543 67321172 68380724 100981758 102571086 123878093 201963516 205142172 247756186 371634279 488078497 495512372 743268558 976156994 1464235491 1486537116 1952313988 2928470982 3592464697 5856941964 7184929394 10777394091 14369858788 21554788182 35057500319 43109576364 70115000638 105172500957 140230001276 210345001914 420690003828 1016667509251 2033335018502 3050002527753 4066670037004 6100005055506 12200010111012