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21200212121200 = 2452726921281249
BaseRepresentation
bin1001101001000000011110…
…00111001101011001110000
32210001201110020022111012221
410310200033013031121300
510234321013300334300
6113031124253130424
74315444006515040
oct464401707153160
983051406274187
1021200212121200
116833a61065a02
1224648b0189a14
13baa22c80ac38
1453414aa01720
1526b6ed4c231a
hex13480f1cd670

21200212121200 has 120 divisors (see below), whose sum is σ = 58212094500000. Its totient is φ = 7268348313600.

The previous prime is 21200212121177. The next prime is 21200212121201. The reversal of 21200212121200 is 212121200212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21200212121201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75238176 + ... + 75519424.

It is an arithmetic number, because the mean of its divisors is an integer number (485100787500).

Almost surely, 221200212121200 is an apocalyptic number.

21200212121200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21200212121200 is an abundant number, since it is smaller than the sum of its proper divisors (37011882378800).

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

21200212121200 is a wasteful number, since it uses less digits than its factorization.

21200212121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308195 (or 308184 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21200212121200 its reverse (212121200212), we get a palindrome (21412333321412).

The spelling of 21200212121200 in words is "twenty-one trillion, two hundred billion, two hundred twelve million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 26921 53842 107684 134605 188447 215368 269210 281249 376894 430736 538420 562498 673025 753788 942235 1076840 1124996 1346050 1406245 1507576 1884470 1968743 2153680 2249992 2692100 2812490 3015152 3768940 3937486 4499984 4711175 5384200 5624980 7031225 7537880 7874972 9422350 9843715 10768400 11249960 14062450 15075760 15749944 18844700 19687430 22499920 28124900 31499888 37689400 39374860 49218575 56249800 75378800 78749720 98437150 112499600 157499440 196874300 393748600 787497200 7571504329 15143008658 30286017316 37857521645 53000530303 60572034632 75715043290 106001060606 121144069264 151430086580 189287608225 212002121212 265002651515 302860173160 378575216450 424004242424 530005303030 605720346320 757150432900 848008484848 1060010606060 1325013257575 1514300865800 2120021212120 2650026515150 3028601731600 4240042424240 5300053030300 10600106060600 21200212121200