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12223332004212 = 2233725714045141
BaseRepresentation
bin1011000111011111011101…
…0111001011000101110100
31121021112120000122102001000
42301313313113023011310
53100231340443113322
641555153214003300
72401051363512300
oct261676727130564
947245500572030
1012223332004212
11399298228910a
121454b691a6530
136a88697c2cc4
143038806d2d00
15162e548d63ac
hexb1df75cb174

12223332004212 has 144 divisors (see below), whose sum is σ = 36928586735040. Its totient is φ = 3486263457600.

The previous prime is 12223332004139. The next prime is 12223332004241. The reversal of 12223332004212 is 21240023332221.

12223332004212 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 3 + 33 + 200 + 421 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 999162 + ... + 5044302.

Almost surely, 212223332004212 is an apocalyptic number.

12223332004212 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 12223332004212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18464293367520).

12223332004212 is an abundant number, since it is smaller than the sum of its proper divisors (24705254730828).

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

12223332004212 is a wasteful number, since it uses less digits than its factorization.

12223332004212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4045739 (or 4045724 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 12223332004212 its reverse (21240023332221), we get a palindrome (33463355336433).

The spelling of 12223332004212 in words is "twelve trillion, two hundred twenty-three billion, three hundred thirty-two million, four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 571 588 756 882 1142 1323 1713 1764 2284 2646 3426 3997 5139 5292 6852 7994 10278 11991 15417 15988 20556 23982 27979 30834 35973 47964 55958 61668 71946 83937 107919 111916 143892 167874 215838 251811 335748 431676 503622 755433 1007244 1510866 3021732 4045141 8090282 12135423 16180564 24270846 28315987 36406269 48541692 56631974 72812538 84947961 109218807 113263948 145625076 169895922 198211909 218437614 254843883 339791844 396423818 436875228 509687766 594635727 764531649 792847636 1019375532 1189271454 1529063298 1783907181 2309775511 2378542908 3058126596 3567814362 4619551022 5351721543 6929326533 7135628724 9239102044 10703443086 13858653066 16168428577 20787979599 21406886172 27717306132 32336857154 41575959198 48505285731 62363938797 64673714308 83151918396 97010571462 113179000039 124727877594 145515857193 194021142924 226358000078 249455755188 291031714386 339537000117 436547571579 452716000156 582063428772 679074000234 873095143158 1018611000351 1358148000468 1746190286316 2037222000702 3055833001053 4074444001404 6111666002106 12223332004212