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2111111221212 = 2232744373325799
BaseRepresentation
bin11110101110001000000…
…010001100111111011100
321110211010222012201021100
4132232020002030333130
5234042023433034322
64253455304033100
7305344206205350
oct36561002147734
97424128181240
102111111221212
1174435427a934
122a1192a62790
13124100040606
147426d493460
1539dac925dac
hex1eb8808cfdc

2111111221212 has 144 divisors (see below), whose sum is σ = 6121109030400. Its totient is φ = 600968744064.

The previous prime is 2111111221129. The next prime is 2111111221217. The reversal of 2111111221212 is 2121221111112.

It is a happy number.

2111111221212 is a `hidden beast` number, since 211 + 11 + 11 + 221 + 212 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111111221217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81816289 + ... + 81842087.

It is an arithmetic number, because the mean of its divisors is an integer number (42507701600).

Almost surely, 22111111221212 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 2111111221212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3060554515200).

2111111221212 is an abundant number, since it is smaller than the sum of its proper divisors (4009997809188).

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

2111111221212 is a wasteful number, since it uses less digits than its factorization.

2111111221212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26992 (or 26987 counting only the distinct ones).

The product of its digits is 32, while the sum is 18.

Adding to 2111111221212 its reverse (2121221111112), we get a palindrome (4232332332324).

The spelling of 2111111221212 in words is "two trillion, one hundred eleven billion, one hundred eleven million, two hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 443 733 886 1329 1466 1772 2199 2658 2932 3101 3987 4398 5131 5316 6202 6597 7974 8796 9303 10262 12404 13194 15393 15948 18606 20524 25799 26388 27909 30786 37212 46179 51598 55818 61572 77397 92358 103196 111636 154794 180593 184716 232191 309588 324719 361186 464382 541779 649438 722372 928764 974157 1083558 1298876 1625337 1948314 2167116 2273033 2922471 3250674 3896628 4546066 5844942 6501348 6819099 9092132 11428957 11689884 13638198 18910667 20457297 22857914 27276396 34286871 37821334 40914594 45715828 56732001 68573742 75642668 80002699 81829188 102860613 113464002 132374669 137147484 160005398 170196003 205721226 226928004 240008097 264749338 320010796 340392006 397124007 411442452 480016194 529498676 680784012 720024291 794248014 960032388 1191372021 1440048582 1588496028 2382744042 2880097164 4765488084 8377425481 16754850962 25132276443 33509701924 50264552886 58641978367 75396829329 100529105772 117283956734 150793658658 175925935101 234567913468 301587317316 351851870202 527777805303 703703740404 1055555610606 2111111221212