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112120010120112 = 24389151173810071
BaseRepresentation
bin11001011111100011111001…
…011000000001101110110000
3112200222120100021121101202120
4121133203321120001232300
5104143433240042320422
61034243115510114240
732421255241310001
oct3137437130015660
9480876307541676
10112120010120112
11327a7913828525
12106a973864b980
134a73b43b54307
141d988cd20d1a8
15ce67734e445c
hex65f8f9601bb0

112120010120112 has 80 divisors (see below), whose sum is σ = 294837501335040. Its totient is φ = 36708686784000.

The previous prime is 112120010120071. The next prime is 112120010120113. The reversal of 112120010120112 is 211021010021211.

It is a happy number.

112120010120112 is digitally balanced in base 4, 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 = 112120010120091 and 112120010120100.

It is not an unprimeable number, because it can be changed into a prime (112120010120113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86259964 + ... + 87550107.

It is an arithmetic number, because the mean of its divisors is an integer number (3685468766688).

Almost surely, 2112120010120112 is an apocalyptic number.

112120010120112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112120010120112 is an abundant number, since it is smaller than the sum of its proper divisors (182717491214928).

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

112120010120112 is a wasteful number, since it uses less digits than its factorization.

112120010120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173810322 (or 173810316 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 112120010120112 its reverse (211021010021211), we get a palindrome (323141020141323).

The spelling of 112120010120112 in words is "one hundred twelve trillion, one hundred twenty billion, ten million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 89 151 178 267 302 356 453 534 604 712 906 1068 1208 1424 1812 2136 2416 3624 4272 7248 13439 26878 40317 53756 80634 107512 161268 215024 322536 645072 173810071 347620142 521430213 695240284 1042860426 1390480568 2085720852 2780961136 4171441704 8342883408 15469096319 26245320721 30938192638 46407288957 52490641442 61876385276 78735962163 92814577914 104981282884 123752770552 157471924326 185629155828 209962565768 247505541104 314943848652 371258311656 419925131536 629887697304 742516623312 1259775394608 2335833544169 4671667088338 7007500632507 9343334176676 14015001265014 18686668353352 28030002530028 37373336706704 56060005060056 112120010120112