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201122022122120 = 235112319873717601
BaseRepresentation
bin101101101110101101011110…
…101011110110001010001000
3222101010002002112012112121202
4231232231132223312022020
5202330140400130401440
61551430103105323332
760235405125065651
oct5556553653661210
9871102075175552
10201122022122120
11590a140927a670
121a682966336548
13882b957663438
143794501b8a528
15183b9a308d615
hexb6eb5eaf6288

201122022122120 has 64 divisors (see below), whose sum is σ = 515126760243840. Its totient is φ = 69955485952000.

The previous prime is 201122022122081. The next prime is 201122022122141. The reversal of 201122022122120 is 21221220221102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 201122022122092 and 201122022122101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9936848681 + ... + 9936868920.

It is an arithmetic number, because the mean of its divisors is an integer number (8048855628810).

Almost surely, 2201122022122120 is an apocalyptic number.

201122022122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201122022122120 is an abundant number, since it is smaller than the sum of its proper divisors (314004738121720).

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

201122022122120 is a wasteful number, since it uses less digits than its factorization.

201122022122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19873717646 (or 19873717642 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 201122022122120 its reverse (21221220221102), we get a palindrome (222343242343222).

The spelling of 201122022122120 in words is "two hundred one trillion, one hundred twenty-two billion, twenty-two million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 920 1012 1265 2024 2530 5060 10120 19873717601 39747435202 79494870404 99368588005 158989740808 198737176010 218610893611 397474352020 437221787222 457095504823 794948704040 874443574444 914191009646 1093054468055 1748887148888 1828382019292 2186108936110 2285477524115 3656764038584 4372217872220 4570955048230 5028050553053 8744435744440 9141910096460 10056101106106 18283820192920 20112202212212 25140252765265 40224404424424 50280505530530 100561011061060 201122022122120