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11112120120 = 2335412258561
BaseRepresentation
bin10100101100101010…
…10111111100111000
31001200102102012010110
422112111113330320
5140224200320440
65034351144320
7542240314443
oct122625277470
931612365113
1011112120120
114792558352
1221a15150a0
131081222a0a
14775b3865a
1545083a080
hex296557f38

11112120120 has 64 divisors (see below), whose sum is σ = 34149457440. Its totient is φ = 2890956800.

The previous prime is 11112120109. The next prime is 11112120133. The reversal of 11112120120 is 2102121111.

It is a super-2 number, since 2×111121201202 (a number of 21 digits) contains 22 as substring.

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 = 11112120096 and 11112120105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1124361 + ... + 1134200.

Almost surely, 211112120120 is an apocalyptic number.

11112120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11112120120 is an abundant number, since it is smaller than the sum of its proper divisors (23037337320).

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

11112120120 is a wasteful number, since it uses less digits than its factorization.

11112120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2258616 (or 2258612 counting only the distinct ones).

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

Adding to 11112120120 its reverse (2102121111), we get a palindrome (13214241231).

Subtracting from 11112120120 its reverse (2102121111), we obtain a palindrome (9009999009).

The spelling of 11112120120 in words is "eleven billion, one hundred twelve million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1640 2460 4920 2258561 4517122 6775683 9034244 11292805 13551366 18068488 22585610 27102732 33878415 45171220 54205464 67756830 90342440 92601001 135513660 185202002 271027320 277803003 370404004 463005005 555606006 740808008 926010010 1111212012 1389015015 1852020020 2222424024 2778030030 3704040040 5556060060 11112120120