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11212222120 = 2351161419997
BaseRepresentation
bin10100111000100110…
…01110111010101000
31001221101202220020221
422130103032322220
5140430312101440
65052324455424
7544564213141
oct123423167250
931841686227
1011212222120
114834009480
12220ab4a574
131098ba0a78
14785154ac8
1545950ed4a
hex29c4ceea8

11212222120 has 128 divisors (see below), whose sum is σ = 28066953600. Its totient is φ = 3996748800.

The previous prime is 11212222097. The next prime is 11212222141. The reversal of 11212222120 is 2122221211.

It is a happy number.

11212222120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11212222094 and 11212222103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11245462 + ... + 11246458.

It is an arithmetic number, because the mean of its divisors is an integer number (219273075).

Almost surely, 211212222120 is an apocalyptic number.

11212222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11212222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14033476800).

11212222120 is an abundant number, since it is smaller than the sum of its proper divisors (16854731480).

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

11212222120 is a wasteful number, since it uses less digits than its factorization.

11212222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11212222120 its reverse (2122221211), we get a palindrome (13334443331).

Subtracting from 11212222120 its reverse (2122221211), we obtain a palindrome (9090000909).

It can be divided in two parts, 11212 and 222120, that added together give a palindrome (233332).

The spelling of 11212222120 in words is "eleven billion, two hundred twelve million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 61 88 110 122 220 244 305 419 440 488 610 671 838 997 1220 1342 1676 1994 2095 2440 2684 3352 3355 3988 4190 4609 4985 5368 6710 7976 8380 9218 9970 10967 13420 16760 18436 19940 21934 23045 25559 26840 36872 39880 43868 46090 51118 54835 60817 87736 92180 102236 109670 121634 127795 184360 204472 219340 243268 255590 281149 304085 417743 438680 486536 511180 562298 608170 668987 835486 1022360 1124596 1216340 1337974 1405745 1670972 2088715 2249192 2432680 2675948 2811490 3341944 3344935 4177430 4595173 5351896 5622980 6689870 8354860 9190346 11245960 13379740 16709720 18380692 22975865 25482323 26759480 36761384 45951730 50964646 91903460 101929292 127411615 183806920 203858584 254823230 280305553 509646460 560611106 1019292920 1121222212 1401527765 2242444424 2803055530 5606111060 11212222120