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11120211120 = 2435232398429
BaseRepresentation
bin10100101101101000…
…01111010010110000
31001200222122020220010
422112310033102300
5140233233223440
65035240414520
7542366143404
oct122664172260
931628566803
1011120211120
114797084227
1221a4177440
131082ac66a5
14776c43104
154513d7580
hex296d0f4b0

11120211120 has 160 divisors (see below), whose sum is σ = 36126259200. Its totient is φ = 2824256512.

The previous prime is 11120211119. The next prime is 11120211161. The reversal of 11120211120 is 2111202111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11120211096 and 11120211105.

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, 1315066 + ... + 1323494.

It is an arithmetic number, because the mean of its divisors is an integer number (225789120).

Almost surely, 211120211120 is an apocalyptic number.

11120211120 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 11120211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18063129600).

11120211120 is an abundant number, since it is smaller than the sum of its proper divisors (25006048080).

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

11120211120 is a wasteful number, since it uses less digits than its factorization.

11120211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8707 (or 8701 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11120211120 its reverse (2111202111), we get a palindrome (13231413231).

Subtracting from 11120211120 its reverse (2111202111), we obtain a palindrome (9009009009).

The spelling of 11120211120 in words is "eleven billion, one hundred twenty million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 239 240 276 345 368 460 478 552 690 717 920 956 1104 1195 1380 1434 1840 1912 2390 2760 2868 3585 3824 4780 5497 5520 5736 7170 8429 9560 10994 11472 14340 16491 16858 19120 21988 25287 27485 28680 32982 33716 42145 43976 50574 54970 57360 65964 67432 82455 84290 87952 101148 109940 126435 131928 134864 164910 168580 193867 202296 219880 252870 263856 329820 337160 387734 404592 439760 505740 581601 659640 674320 775468 969335 1011480 1163202 1319280 1550936 1938670 2014531 2022960 2326404 2908005 3101872 3877340 4029062 4652808 5816010 6043593 7754680 8058124 9305616 10072655 11632020 12087186 15509360 16116248 20145310 23264040 24174372 30217965 32232496 40290620 46334213 46528080 48348744 60435930 80581240 92668426 96697488 120871860 139002639 161162480 185336852 231671065 241743720 278005278 370673704 463342130 483487440 556010556 695013195 741347408 926684260 1112021112 1390026390 1853368520 2224042224 2780052780 3706737040 5560105560 11120211120