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21212200111220 = 22541671441926777
BaseRepresentation
bin1001101001010110110011…
…01001110000110001110100
32210002212101200211110222022
410310223121221300301310
510240020041212024340
6113040430013252312
74316350043661206
oct464533151606164
983085350743868
1021212200111220
116839052a64278
122467096a94098
13bab3c0329061
14534966bb4776
1526bba0b6e3b5
hex134ad9a70c74

21212200111220 has 96 divisors (see below), whose sum is σ = 46318116539520. Its totient is φ = 8153510492160.

The previous prime is 21212200111177. The next prime is 21212200111229. The reversal of 21212200111220 is 2211100221212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21212200111229) 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, 792166472 + ... + 792193248.

It is an arithmetic number, because the mean of its divisors is an integer number (482480380620).

Almost surely, 221212200111220 is an apocalyptic number.

21212200111220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21212200111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23159058269760).

21212200111220 is an abundant number, since it is smaller than the sum of its proper divisors (25105916428300).

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

21212200111220 is a wasteful number, since it uses less digits than its factorization.

21212200111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41313 (or 41311 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 21212200111220 its reverse (2211100221212), we get a palindrome (23423300332432).

The spelling of 21212200111220 in words is "twenty-one trillion, two hundred twelve billion, two hundred million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 67 82 134 164 205 268 335 410 670 820 1340 2747 5494 10988 13735 14419 26777 27470 28838 53554 54940 57676 72095 107108 133885 144190 267770 288380 535540 591179 966073 1097857 1182358 1794059 1932146 2195714 2364716 2955895 3588118 3864292 4391428 4830365 5489285 5911790 7176236 8970295 9660730 10978570 11823580 17940590 19321460 21957140 35881180 39608993 73556419 79217986 147112838 158435972 198044965 294225676 367782095 386097563 396089930 735564190 772195126 792179860 1471128380 1544390252 1930487815 3860975630 7721951260 15830000083 25868536721 31660000166 51737073442 63320000332 79150000415 103474146884 129342683605 158300000830 258685367210 316600001660 517370734420 1060610005561 2121220011122 4242440022244 5303050027805 10606100055610 21212200111220