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11212111120 = 2457193227457
BaseRepresentation
bin10100111000100101…
…10011110100010000
31001221101120020222211
422130102303310100
5140430300023440
65052322241504
7544563241420
oct123422636420
931841506884
1011212111120
114833a43041
12220aab6294
131098b623a2
14785126480
154594dbeea
hex29c4b3d10

11212111120 has 160 divisors (see below), whose sum is σ = 30144284928. Its totient is φ = 3799056384.

The previous prime is 11212111087. The next prime is 11212111123. The reversal of 11212111120 is 2111121211.

It is a happy number.

It is a super-2 number, since 2×112121111202 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11212111120.

It is not an unprimeable number, because it can be changed into a prime (11212111123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24533932 + ... + 24534388.

Almost surely, 211212111120 is an apocalyptic number.

11212111120 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 11212111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15072142464).

11212111120 is an abundant number, since it is smaller than the sum of its proper divisors (18932173808).

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

11212111120 is a wasteful number, since it uses less digits than its factorization.

11212111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 11212111120 its reverse (2111121211), we get a palindrome (13323232331).

The spelling of 11212111120 in words is "eleven billion, two hundred twelve million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 193 227 280 386 454 457 560 772 908 914 965 1135 1351 1544 1589 1816 1828 1930 2270 2285 2702 3088 3178 3199 3632 3656 3860 4540 4570 5404 6356 6398 6755 7312 7720 7945 9080 9140 10808 12712 12796 13510 15440 15890 15995 18160 18280 21616 25424 25592 27020 31780 31990 36560 43811 51184 54040 63560 63980 87622 88201 103739 108080 127120 127960 175244 176402 207478 219055 255920 306677 350488 352804 414956 438110 441005 518695 613354 617407 700976 705608 726173 829912 876220 882010 1037390 1226708 1234814 1411216 1452346 1533385 1659824 1752440 1764020 2074780 2453416 2469628 2904692 3066770 3087035 3504880 3528040 3630865 4149560 4906832 4939256 5809384 6133540 6174070 7056080 7261730 8299120 9878512 11618768 12267080 12348140 14523460 20021627 24534160 24696280 29046920 40043254 49392560 58093840 80086508 100108135 140151389 160173016 200216270 280302778 320346032 400432540 560605556 700756945 800865080 1121211112 1401513890 1601730160 2242422224 2803027780 5606055560 11212111120