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20122102002120 = 23352933149174431
BaseRepresentation
bin1001001001101000010101…
…01111011111000111001000
32122020122122212220212222120
410210310022233133013020
510114140031103031440
6110443544355451240
74144526305640226
oct444641257370710
978218585825876
1020122102002120
11645880aaa8498
12230b96b2b6b20
13b2c676b0a331
144d7cb4811b16
1524d64e64bdd0
hex124d0abdf1c8

20122102002120 has 128 divisors (see below), whose sum is σ = 62450144640000. Its totient is φ = 5180677053440.

The previous prime is 20122102002049. The next prime is 20122102002169. The reversal of 20122102002120 is 2120020122102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20122102002120.

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, 115271305 + ... + 115445735.

It is an arithmetic number, because the mean of its divisors is an integer number (487891755000).

Almost surely, 220122102002120 is an apocalyptic number.

20122102002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20122102002120 is an abundant number, since it is smaller than the sum of its proper divisors (42328042637880).

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

20122102002120 is a wasteful number, since it uses less digits than its factorization.

20122102002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207623 (or 207619 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20122102002120 its reverse (2120020122102), we get a palindrome (22242122124222).

The spelling of 20122102002120 in words is "twenty trillion, one hundred twenty-two billion, one hundred two million, two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 33149 66298 99447 132596 165745 174431 198894 265192 331490 348862 397788 497235 523293 662980 697724 795576 872155 961321 994470 1046586 1325960 1395448 1744310 1922642 1988940 2093172 2616465 2883963 3488620 3845284 3977880 4186344 4806605 5058499 5232930 5767926 6977240 7690568 9613210 10116998 10465860 11535852 14419815 15175497 19226420 20233996 20931720 23071704 25292495 28839630 30350994 38452840 40467992 50584990 57679260 60701988 75877485 101169980 115358520 121403976 151754970 202339960 303509940 607019880 5782213219 11564426438 17346639657 23128852876 28911066095 34693279314 46257705752 57822132190 69386558628 86733198285 115644264380 138773117256 167684183351 173466396570 231288528760 335368366702 346932793140 503052550053 670736733404 693865586280 838420916755 1006105100106 1341473466808 1676841833510 2012210200212 2515262750265 3353683667020 4024420400424 5030525500530 6707367334040 10061051001060 20122102002120