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21200120022120 = 23351313997768493
BaseRepresentation
bin1001101001000000010011…
…00111111000010001101000
32210001201012211000101000220
410310200021213320101220
510234320321211201440
6113031111203130040
74315441510630434
oct464401147702150
983051184011026
1021200120022120
116833a14080566
122464885373920
13baa216702740
1453413c6a99c4
1526b6e537d8d0
hex1348099f8468

21200120022120 has 128 divisors (see below), whose sum is σ = 68985449366400. Its totient is φ = 5180947928064.

The previous prime is 21200120022091. The next prime is 21200120022121. The reversal of 21200120022120 is 2122002100212.

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 21200120022120.

It is not an unprimeable number, because it can be changed into a prime (21200120022121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48667407 + ... + 49101086.

It is an arithmetic number, because the mean of its divisors is an integer number (538948823175).

Almost surely, 221200120022120 is an apocalyptic number.

21200120022120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21200120022120 is an abundant number, since it is smaller than the sum of its proper divisors (47785329344280).

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

21200120022120 is a wasteful number, since it uses less digits than its factorization.

21200120022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97768659 (or 97768655 counting only the distinct ones).

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

Adding to 21200120022120 its reverse (2122002100212), we get a palindrome (23322122122332).

The spelling of 21200120022120 in words is "twenty-one trillion, two hundred billion, one hundred twenty million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 139 156 195 260 278 312 390 417 520 556 695 780 834 1112 1390 1560 1668 1807 2085 2780 3336 3614 4170 5421 5560 7228 8340 9035 10842 14456 16680 18070 21684 27105 36140 43368 54210 72280 108420 216840 97768493 195536986 293305479 391073972 488842465 586610958 782147944 977684930 1173221916 1270990409 1466527395 1955369860 2346443832 2541980818 2933054790 3812971227 3910739720 5083961636 5866109580 6354952045 7625942454 10167923272 11732219160 12709904090 13589820527 15251884908 19064856135 25419808180 27179641054 30503769816 38129712270 40769461581 50839616360 54359282108 67949102635 76259424540 81538923162 108718564216 135898205270 152518849080 163077846324 176667666851 203847307905 271796410540 326155692648 353335333702 407694615810 530003000553 543592821080 706670667404 815389231620 883338334255 1060006001106 1413341334808 1630778463240 1766676668510 2120012002212 2650015002765 3533353337020 4240024004424 5300030005530 7066706674040 10600060011060 21200120022120