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20011222121112 = 233479787496703
BaseRepresentation
bin1001000110011001110011…
…10010010011101010011000
32121212001110110212022210000
410203030321302103222120
510110330440330333422
6110321010055053000
74133522511334065
oct443147162235230
977761413768700
1020011222121112
1164157912177a2
1222b2385971160
13b2208623c3a1
144d279682bc6c
1524a81019dcac
hex123339c93a98

20011222121112 has 160 divisors (see below), whose sum is σ = 56831679590400. Its totient is φ = 6577590142656.

The previous prime is 20011222121089. The next prime is 20011222121147. The reversal of 20011222121112 is 21112122211002.

20011222121112 is a `hidden beast` number, since 200 + 11 + 222 + 121 + 112 = 666.

It is a super-2 number, since 2×200112221211122 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40039753 + ... + 40536455.

It is an arithmetic number, because the mean of its divisors is an integer number (355197997440).

Almost surely, 220011222121112 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 20011222121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28415839795200).

20011222121112 is an abundant number, since it is smaller than the sum of its proper divisors (36820457469288).

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

20011222121112 is a wasteful number, since it uses less digits than its factorization.

20011222121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497587 (or 497574 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 20011222121112 its reverse (21112122211002), we get a palindrome (41123344332114).

The spelling of 20011222121112 in words is "twenty trillion, eleven billion, two hundred twenty-two million, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 79 81 108 158 162 216 237 316 324 474 632 648 711 787 948 1422 1574 1896 2133 2361 2844 3148 4266 4722 5688 6296 6399 7083 8532 9444 12798 14166 17064 18888 21249 25596 28332 42498 51192 56664 62173 63747 84996 124346 127494 169992 186519 248692 254988 373038 496703 497384 509976 559557 746076 993406 1119114 1490109 1492152 1678671 1986812 2238228 2980218 3357342 3973624 4470327 4476456 5036013 5960436 6714684 8940654 10072026 11920872 13410981 13429368 17881308 20144052 26821962 35762616 39239537 40232943 40288104 53643924 78479074 80465886 107287848 117718611 156958148 160931772 235437222 313916296 321863544 353155833 390905261 470874444 706311666 781810522 941748888 1059467499 1172715783 1412623332 1563621044 2118934998 2345431566 2825246664 3127242088 3178402497 3518147349 4237869996 4690863132 6356804994 7036294698 8475739992 9381726264 10554442047 12713609988 14072589396 21108884094 25427219976 28145178792 30881515619 31663326141 42217768188 61763031238 63326652282 84435536376 92644546857 123526062476 126653304564 185289093714 247052124952 253306609128 277933640571 370578187428 555867281142 741156374856 833800921713 1111734562284 1667601843426 2223469124568 2501402765139 3335203686852 5002805530278 6670407373704 10005611060556 20011222121112