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112100121220 = 225191372299403
BaseRepresentation
bin110100001100110110…
…0000001101010000100
3101201100110011012002111
41220121230001222010
53314040112334340
6123255330350404
711045642210563
oct1503154015204
9351313135074
10112100121220
11435a566128a
121988612b404
13a75662ac99
1455d60a1bda
152db1685aea
hex1a19b01a84

112100121220 has 96 divisors (see below), whose sum is σ = 250725686400. Its totient is φ = 41981359104.

The previous prime is 112100121197. The next prime is 112100121229. The reversal of 112100121220 is 22121001211.

It is a self number, because there is not a number n which added to its sum of digits gives 112100121220.

It is not an unprimeable number, because it can be changed into a prime (112100121229) 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, 11917039 + ... + 11926441.

It is an arithmetic number, because the mean of its divisors is an integer number (2611725900).

Almost surely, 2112100121220 is an apocalyptic number.

112100121220 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 112100121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125362843200).

112100121220 is an abundant number, since it is smaller than the sum of its proper divisors (138625565180).

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

112100121220 is a wasteful number, since it uses less digits than its factorization.

112100121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9797 (or 9795 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 112100121220 its reverse (22121001211), we get a palindrome (134221122431).

The spelling of 112100121220 in words is "one hundred twelve billion, one hundred million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 137 190 229 274 380 458 548 685 916 1145 1370 2290 2603 2740 4351 4580 5206 8702 9403 10412 13015 17404 18806 21755 26030 31373 37612 43510 47015 52060 62746 87020 94030 125492 156865 178657 188060 313730 357314 596087 627460 714628 893285 1192174 1288211 1786570 2153287 2384348 2576422 2980435 3573140 4306574 5152844 5960870 6441055 8613148 10766435 11921740 12882110 21532870 24476009 25764220 40912453 43065740 48952018 81824906 97904036 122380045 163649812 204562265 244760090 295000319 409124530 489520180 590000638 818249060 1180001276 1475001595 2950003190 5605006061 5900006380 11210012122 22420024244 28025030305 56050060610 112100121220