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111221121220 = 2251121011273583
BaseRepresentation
bin110011110010101001…
…0111010000011000100
3101122002012011100202221
41213211102322003010
53310240101334340
6123032210342124
711015106634426
oct1474522720304
9348065140687
10111221121220
1143194472600
121967b88a944
13a6464a7c41
145551450816
152d5e40644a
hex19e54ba0c4

111221121220 has 144 divisors (see below), whose sum is σ = 261384044544. Its totient is φ = 39717216000.

The previous prime is 111221121203. The next prime is 111221121223. The reversal of 111221121220 is 22121122111.

111221121220 is digitally balanced in base 3, 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 = 111221121194 and 111221121203.

It is not an unprimeable number, because it can be changed into a prime (111221121223) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 31039549 + ... + 31043131.

It is an arithmetic number, because the mean of its divisors is an integer number (1815166976).

Almost surely, 2111221121220 is an apocalyptic number.

111221121220 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 111221121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130692022272).

111221121220 is an abundant number, since it is smaller than the sum of its proper divisors (150162923324).

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

111221121220 is a wasteful number, since it uses less digits than its factorization.

111221121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3842 (or 3829 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 111221121220 its reverse (22121122111), we get a palindrome (133342243331).

The spelling of 111221121220 in words is "one hundred eleven billion, two hundred twenty-one million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 121 127 202 220 242 254 404 484 505 508 605 635 1010 1111 1210 1270 1397 2020 2222 2420 2540 2794 3583 4444 5555 5588 6985 7166 11110 12221 12827 13970 14332 15367 17915 22220 24442 25654 27940 30734 35830 39413 48884 51308 61105 61468 64135 71660 76835 78826 122210 128270 141097 153670 157652 197065 244420 256540 282194 307340 361883 394130 433543 455041 564388 705485 723766 788260 867086 910082 1410970 1447532 1552067 1734172 1809415 1820164 2167715 2275205 2821940 3104134 3618830 3980713 4335430 4550410 5005451 6208268 7237660 7760335 7961426 8670860 9100820 10010902 15520670 15922852 19903565 20021804 25027255 31041340 39807130 43787843 45959141 50054510 55059961 79614260 87575686 91918282 100109020 110119922 175151372 183836564 218939215 220239844 229795705 275299805 437878430 459591410 505550551 550599610 875756860 919182820 1011101102 1101199220 2022202204 2527752755 5055505510 5561056061 10111011020 11122112122 22244224244 27805280305 55610560610 111221121220