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12022137504 = 2533131070347
BaseRepresentation
bin10110011001001001…
…10100001010100000
31011000211202212022000
423030210310022200
5144110131400004
65304540044000
7603630324366
oct131444641240
934024685260
1012022137504
11510a201933
1223b6233600
131197915b40
14820941636
154a5694c39
hex2cc9342a0

12022137504 has 96 divisors (see below), whose sum is σ = 37761877440. Its totient is φ = 3699115776.

The previous prime is 12022137487. The next prime is 12022137529. The reversal of 12022137504 is 40573122021.

12022137504 is a `hidden beast` number, since 1 + 2 + 0 + 22 + 137 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 523942 + ... + 546405.

It is an arithmetic number, because the mean of its divisors is an integer number (393352890).

Almost surely, 212022137504 is an apocalyptic number.

It is an amenable number.

12022137504 is an abundant number, since it is smaller than the sum of its proper divisors (25739739936).

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

12022137504 is a wasteful number, since it uses less digits than its factorization.

12022137504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070379 (or 1070365 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 12022137504 its reverse (40573122021), we get a palindrome (52595259525).

The spelling of 12022137504 in words is "twelve billion, twenty-two million, one hundred thirty-seven thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3744 5616 11232 1070347 2140694 3211041 4281388 6422082 8562776 9633123 12844164 13914511 17125552 19266246 25688328 27829022 28899369 34251104 38532492 41743533 51376656 55658044 57798738 77064984 83487066 102753312 111316088 115597476 125230599 154129968 166974132 222632176 231194952 250461198 308259936 333948264 375691797 445264352 462389904 500922396 667896528 751383594 924779808 1001844792 1335793056 1502767188 2003689584 3005534376 4007379168 6011068752 12022137504