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112120221220 = 22572724715787
BaseRepresentation
bin110100001101011100…
…0101100111000100100
3101201101211222101002221
41220122320230320210
53314110234034340
6123301325242124
711046305104300
oct1503270547044
9351354871087
10112120221220
1143605a3a757
1219890a03344
13a75a847a87
1455d8a14d00
152db330644a
hex1a1ae2ce24

112120221220 has 72 divisors (see below), whose sum is σ = 273948829056. Its totient is φ = 38433479616.

The previous prime is 112120221217. The next prime is 112120221233. The reversal of 112120221220 is 22122021211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 112120221194 and 112120221203.

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 23 ways as a sum of consecutive naturals, for example, 7094167 + ... + 7109953.

It is an arithmetic number, because the mean of its divisors is an integer number (3804844848).

Almost surely, 2112120221220 is an apocalyptic number.

112120221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112120221220 is an abundant number, since it is smaller than the sum of its proper divisors (161828607836).

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

112120221220 is a wasteful number, since it uses less digits than its factorization.

112120221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23057 (or 23048 counting only the distinct ones).

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

Adding to 112120221220 its reverse (22122021211), we get a palindrome (134242242431).

Subtracting from 112120221220 its reverse (22122021211), we obtain a square (89998200009 = 2999972).

The spelling of 112120221220 in words is "one hundred twelve billion, one hundred twenty million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 7247 14494 15787 28988 31574 36235 50729 63148 72470 78935 101458 110509 144940 157870 202916 221018 253645 315740 355103 442036 507290 552545 710206 773563 1014580 1105090 1420412 1547126 1775515 2210180 3094252 3551030 3867815 7102060 7735630 15471260 114408389 228816778 457633556 572041945 800858723 1144083890 1601717446 2288167780 3203434892 4004293615 5606011061 8008587230 11212022122 16017174460 22424044244 28030055305 56060110610 112120221220