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21202200120120 = 23351719547012387
BaseRepresentation
bin1001101001000100001011…
…00110110100101100111000
32210001220120210002022001120
410310202011212310230320
510234334101212320440
6113032053430545240
74315544166314205
oct464420546645470
983056523068046
1021202200120120
116834891255a18
122465165b08220
13baa488642966
14534298a54cac
1526b7b7cb3dd0
hex1348859b4b38

21202200120120 has 128 divisors (see below), whose sum is σ = 70892805484800. Its totient is φ = 5041266149376.

The previous prime is 21202200120119. The next prime is 21202200120223. The reversal of 21202200120120 is 2102100220212.

21202200120120 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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 21202200120120.

It is a congruent number.

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, 273467434 + ... + 273544953.

It is an arithmetic number, because the mean of its divisors is an integer number (553850042850).

Almost surely, 221202200120120 is an apocalyptic number.

21202200120120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21202200120120 is an abundant number, since it is smaller than the sum of its proper divisors (49690605364680).

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

21202200120120 is a wasteful number, since it uses less digits than its factorization.

21202200120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547012437 (or 547012433 counting only the distinct ones).

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

Adding to 21202200120120 its reverse (2102100220212), we get a palindrome (23304300340332).

The spelling of 21202200120120 in words is "twenty-one trillion, two hundred two billion, two hundred million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 19 20 24 30 34 38 40 51 57 60 68 76 85 95 102 114 120 136 152 170 190 204 228 255 285 323 340 380 408 456 510 570 646 680 760 969 1020 1140 1292 1615 1938 2040 2280 2584 3230 3876 4845 6460 7752 9690 12920 19380 38760 547012387 1094024774 1641037161 2188049548 2735061935 3282074322 4376099096 5470123870 6564148644 8205185805 9299210579 10393235353 10940247740 13128297288 16410371610 18598421158 20786470706 21880495480 27897631737 31179706059 32820743220 37196842316 41572941412 46496052895 51966176765 55795263474 62359412118 65641486440 74393684632 83145882824 92992105790 103932353530 111590526948 124718824236 139488158685 155898530295 176685001001 185984211580 207864707060 223181053896 249437648472 278976317370 311797060590 353370002002 371968423160 415729414120 530055003003 557952634740 623594121180 706740004004 883425005005 1060110006006 1115905269480 1247188242360 1413480008008 1766850010010 2120220012012 2650275015015 3533700020020 4240440024024 5300550030030 7067400040040 10601100060060 21202200120120