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21201212012220 = 223253710131518467
BaseRepresentation
bin1001101001000010010101…
…01101011111011010111100
32210001211000220210012211200
410310201022231133122330
510234330040233342340
6113031411412215500
74315510540453152
oct464411255373274
983054026705750
1021201212012220
116834424514919
122464b2b00a590
13baa35ba0a626
145342037213d2
1526b75b181330
hex13484ab5f6bc

21201212012220 has 144 divisors (see below), whose sum is σ = 66702407754528. Its totient is φ = 5446390924800.

The previous prime is 21201212012209. The next prime is 21201212012243. The reversal of 21201212012220 is 2221021210212.

It is a happy number.

21201212012220 is a `hidden beast` number, since 2 + 120 + 121 + 201 + 2 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21201212012193 and 21201212012202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15086574 + ... + 16431893.

It is an arithmetic number, because the mean of its divisors is an integer number (463211164962).

Almost surely, 221201212012220 is an apocalyptic number.

21201212012220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21201212012220 is an abundant number, since it is smaller than the sum of its proper divisors (45501195742308).

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

21201212012220 is a wasteful number, since it uses less digits than its factorization.

21201212012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31518620 (or 31518615 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21201212012220 its reverse (2221021210212), we get a palindrome (23422233222432).

The spelling of 21201212012220 in words is "twenty-one trillion, two hundred one billion, two hundred twelve million, twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 101 111 148 180 185 202 222 303 333 370 404 444 505 555 606 666 740 909 1010 1110 1212 1332 1515 1665 1818 2020 2220 3030 3330 3636 3737 4545 6060 6660 7474 9090 11211 14948 18180 18685 22422 33633 37370 44844 56055 67266 74740 112110 134532 168165 224220 336330 672660 31518467 63036934 94555401 126073868 157592335 189110802 283666203 315184670 378221604 472777005 567332406 630369340 945554010 1134664812 1166183279 1418331015 1891108020 2332366558 2836662030 3183365167 3498549837 4664733116 5673324060 5830916395 6366730334 6997099674 9550095501 10495649511 11661832790 12733460668 13994199348 15916825835 17492749185 19100191002 20991299022 23323665580 28650286503 31833651670 34985498370 38200382004 41982598044 47750477505 52478247555 57300573006 63667303340 69970996740 95500955010 104956495110 114601146012 117784511179 143251432515 191001910020 209912990220 235569022358 286502865030 353353533537 471138044716 573005730060 588922555895 706707067074 1060060600611 1177845111790 1413414134148 1766767667685 2120121201222 2355690223580 3533535335370 4240242402444 5300303003055 7067070670740 10600606006110 21201212012220