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211120122212112 = 243375313117121409
BaseRepresentation
bin110000000000001100111011…
…111000111010111100010000
31000200111212221022102100212210
4300000030323320322330100
5210132443002241241422
62025003124544552120
762316632303460111
oct6000147370727420
91020455838370783
10211120122212112
11612a65a510a123
121b8185b1922640
1390a5707cba049
143a1c3a8836208
151961abb2e010c
hexc0033be3af10

211120122212112 has 160 divisors (see below), whose sum is σ = 575059126181760. Its totient is φ = 66666653614080.

The previous prime is 211120122212099. The next prime is 211120122212141. The reversal of 211120122212112 is 211212221021112.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3770064 + ... + 20891472.

It is an arithmetic number, because the mean of its divisors is an integer number (3594119538636).

Almost surely, 2211120122212112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211120122212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287529563090880).

211120122212112 is an abundant number, since it is smaller than the sum of its proper divisors (363939003969648).

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

211120122212112 is a wasteful number, since it uses less digits than its factorization.

211120122212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17121641 (or 17121635 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 211120122212112 its reverse (211212221021112), we get a palindrome (422332343233224).

The spelling of 211120122212112 in words is "two hundred eleven trillion, one hundred twenty billion, one hundred twenty-two million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 53 74 106 111 131 148 159 212 222 262 296 318 393 424 444 524 592 636 786 848 888 1048 1272 1572 1776 1961 2096 2544 3144 3922 4847 5883 6288 6943 7844 9694 11766 13886 14541 15688 19388 20829 23532 27772 29082 31376 38776 41658 47064 55544 58164 77552 83316 94128 111088 116328 166632 232656 256891 333264 513782 770673 1027564 1541346 2055128 3082692 4110256 6165384 12330768 17121409 34242818 51364227 68485636 102728454 136971272 205456908 273942544 410913816 633492133 821827632 907434677 1266984266 1814869354 1900476399 2242904579 2533968532 2722304031 3629738708 3800952798 4485809158 5067937064 5444608062 6728713737 7259477416 7601905596 8971618316 10135874128 10889216124 13457427474 14518954832 15203811192 17943236632 21778432248 26914854948 30407622384 33575083049 35886473264 43556864496 53829709896 67150166098 82987469423 100725249147 107659419792 118873942687 134300332196 165974938846 201450498294 237747885374 248962408269 268600664392 331949877692 356621828061 402900996588 475495770748 497924816538 537201328784 663899755384 713243656122 805801993176 950991541496 995849633076 1327799510768 1426487312244 1611603986352 1901983082992 1991699266152 2852974624488 3983398532304 4398335879419 5705949248976 8796671758838 13195007638257 17593343517676 26390015276514 35186687035352 52780030553028 70373374070704 105560061106056 211120122212112