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112112221221220 = 22511246327364141
BaseRepresentation
bin11001011111011100101001…
…000111101111000101100100
3112200221211020110102100010211
4121133130221013233011210
5104143321312113034340
61034235350551025204
732420561232620653
oct3137345107570544
9480854213370124
10112112221221220
11327a4587135500
12106a812406b204
134a731a22842bc
141d983909b719a
15ce64697e75ea
hex65f7291ef164

112112221221220 has 36 divisors (see below), whose sum is σ = 258784656097212. Its totient is φ = 40768080443200.

The previous prime is 112112221221199. The next prime is 112112221221227. The reversal of 112112221221220 is 22122122211211.

It can be written as a sum of positive squares in 2 ways, for example, as 82471862285604 + 29640358935616 = 9081402^2 + 5444296^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 112112221221191 and 112112221221200.

It is not an unprimeable number, because it can be changed into a prime (112112221221227) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23163679651 + ... + 23163684490.

It is an arithmetic number, because the mean of its divisors is an integer number (7188462669367).

Almost surely, 2112112221221220 is an apocalyptic number.

112112221221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112112221221220 is an abundant number, since it is smaller than the sum of its proper divisors (146672434875992).

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

112112221221220 is a wasteful number, since it uses less digits than its factorization.

112112221221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46327364172 (or 46327364159 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 112112221221220 its reverse (22122122211211), we get a palindrome (134234343432431).

The spelling of 112112221221220 in words is "one hundred twelve trillion, one hundred twelve billion, two hundred twenty-one million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 46327364141 92654728282 185309456564 231636820705 463273641410 509601005551 926547282820 1019202011102 2038404022204 2548005027755 5096010055510 5605611061061 10192020111020 11211222122122 22422444244244 28028055305305 56056110610610 112112221221220