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20122011022200 = 2335297345739021
BaseRepresentation
bin1001001001101000001010…
…10100011011001101111000
32122020122102112201121222220
410210310011110123031320
510114134334310202300
6110443531345444040
74144524122423523
oct444640524331570
978218375647886
1020122011022200
11645877370797a
12230b944940620
13b2c661004369
144d7ca66cbbba
1524d646679da0
hex124d0551b378

20122011022200 has 96 divisors (see below), whose sum is σ = 63021308930160. Its totient is φ = 5310551347200.

The previous prime is 20122011022193. The next prime is 20122011022207. The reversal of 20122011022200 is 222011022102.

It is an interprime number because it is at equal distance from previous prime (20122011022193) and next prime (20122011022207).

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 20122011022200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20122011022207) 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, 172811311 + ... + 172927710.

Almost surely, 220122011022200 is an apocalyptic number.

20122011022200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20122011022200 is an abundant number, since it is smaller than the sum of its proper divisors (42899297907960).

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

20122011022200 is a wasteful number, since it uses less digits than its factorization.

20122011022200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345739137 (or 345739128 counting only the distinct ones).

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

Adding to 20122011022200 its reverse (222011022102), we get a palindrome (20344022044302).

The spelling of 20122011022200 in words is "twenty trillion, one hundred twenty-two billion, eleven million, twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 97 100 120 150 194 200 291 300 388 485 582 600 776 970 1164 1455 1940 2328 2425 2910 3880 4850 5820 7275 9700 11640 14550 19400 29100 58200 345739021 691478042 1037217063 1382956084 1728695105 2074434126 2765912168 3457390210 4148868252 5186085315 6914780420 8297736504 8643475525 10372170630 13829560840 17286951050 20744341260 25930426575 33536685037 34573902100 41488682520 51860853150 67073370074 69147804200 100610055111 103721706300 134146740148 167683425185 201220110222 207443412600 268293480296 335366850370 402440220444 503050275555 670733700740 804880440888 838417125925 1006100551110 1341467401480 1676834251850 2012201102220 2515251377775 3353668503700 4024402204440 5030502755550 6707337007400 10061005511100 20122011022200