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12122022000033 = 34111731137188437
BaseRepresentation
bin1011000001100110000011…
…0100001011010110100001
31120220212001112222221220000
42300121200310023112201
53042101400113000113
641440440253010213
72360534001625521
oct260314064132641
946825045887800
1012122022000033
113953a14442530
1214393b4783969
1369c142784b7a
142dc9cd6a9681
151604c5682373
hexb0660d0b5a1

12122022000033 has 160 divisors (see below), whose sum is σ = 21748868748288. Its totient is φ = 6642595123200.

The previous prime is 12122022000007. The next prime is 12122022000037. The reversal of 12122022000033 is 33000022022121.

It is not a de Polignac number, because 12122022000033 - 225 = 12121988445601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12122022000037) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 64235091 + ... + 64423527.

Almost surely, 212122022000033 is an apocalyptic number.

It is an amenable number.

12122022000033 is a deficient number, since it is larger than the sum of its proper divisors (9626846748255).

12122022000033 is a wasteful number, since it uses less digits than its factorization.

12122022000033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188645 (or 188636 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12122022000033 its reverse (33000022022121), we get a palindrome (45122044022154).

The spelling of 12122022000033 in words is "twelve trillion, one hundred twenty-two billion, twenty-two million, thirty-three", and thus it is an aban number.

Divisors: 1 3 9 11 17 27 31 33 51 81 93 99 137 153 187 279 297 341 411 459 527 561 837 891 1023 1233 1377 1507 1581 1683 2329 2511 3069 3699 4247 4521 4743 5049 5797 6987 9207 11097 12741 13563 14229 15147 17391 20961 25619 27621 38223 40689 42687 46717 52173 62883 72199 76857 114669 122067 140151 156519 188437 188649 216597 230571 344007 420453 469557 565311 649791 691713 794189 1261359 1695933 1949373 2072807 2075139 2382567 3203429 3784077 5087799 5841547 5848119 6218421 7147701 9610287 15263397 17524641 18655263 21443103 25815869 28830861 35237719 52573923 55965789 64257017 64329309 77447607 86492583 99306299 105713157 157721769 167897367 192771051 232342821 259477749 283974559 297918897 317139471 438869773 473165307 578313153 697028463 800291939 851923677 893756691 951418413 1092369289 1316609319 1734939459 2091085389 2400875817 2555771031 2681270073 2854255239 3277107867 3949827957 4827567503 5204818377 7202627451 7667313093 8043810219 8803211329 9831323601 11849483871 13604962963 14482702509 21607882353 23001939279 26409633987 29493970803 35548451613 40814888889 43448107527 64823647059 79228901961 88481912409 122444666667 130344322581 149654592593 237686705883 367334000001 391032967743 448963777779 713060117649 1102002000003 1346891333337 4040674000011 12122022000033