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112120122220 = 225671013732221
BaseRepresentation
bin110100001101011100…
…0010100101101101100
3101201101211210100022021
41220122320110231230
53314110222402340
6123301323155524
711046304212541
oct1503270245554
9351354710267
10112120122220
1143605982337
1219890975ba4
13a75a8119b2
1455d89cabc8
152db32d6e4a
hex1a1ae14b6c

112120122220 has 96 divisors (see below), whose sum is σ = 242088428736. Its totient is φ = 43604352000.

The previous prime is 112120122199. The next prime is 112120122227. The reversal of 112120122220 is 22221021211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 112120122194 and 112120122203.

It is not an unprimeable number, because it can be changed into a prime (112120122227) 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, 50480710 + ... + 50482930.

It is an arithmetic number, because the mean of its divisors is an integer number (2521754466).

Almost surely, 2112120122220 is an apocalyptic number.

112120122220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112120122220 is an abundant number, since it is smaller than the sum of its proper divisors (129968306516).

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

112120122220 is a wasteful number, since it uses less digits than its factorization.

112120122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2771 (or 2769 counting only the distinct ones).

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

Adding to 112120122220 its reverse (22221021211), we get a palindrome (134341143431).

The spelling of 112120122220 in words is "one hundred twelve billion, one hundred twenty million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 67 101 134 202 268 335 373 404 505 670 746 1010 1340 1492 1865 2020 2221 3730 4442 6767 7460 8884 11105 13534 22210 24991 27068 33835 37673 44420 49982 67670 75346 99964 124955 135340 148807 150692 188365 224321 249910 297614 376730 448642 499820 595228 744035 753460 828433 897284 1121605 1488070 1656866 2243210 2524091 2976140 3313732 4142165 4486420 5048182 8284330 10096364 12620455 15029507 16568660 25240910 30059014 50481820 55505011 60118028 75147535 83671733 111010022 150295070 167343466 222020044 277525055 300590140 334686932 418358665 555050110 836717330 1110100220 1673434660 5606006111 11212012222 22424024444 28030030555 56060061110 112120122220