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112122101200120 = 23511415961270247
BaseRepresentation
bin11001011111100101110110…
…000000110111010011111000
3112200222202202000100021021021
4121133211312000313103320
5104144002030401400440
61034244103205152224
732421361122223114
oct3137456600672370
9480882660307237
10112122101200120
11327a8797123920
12106aa0209bb674
134a740b813b06b
141d98a4ac16744
15ce6846d9884a
hex65f9760374f8

112122101200120 has 64 divisors (see below), whose sum is σ = 275274970214400. Its totient is φ = 40761869258880.

The previous prime is 112122101200099. The next prime is 112122101200171. The reversal of 112122101200120 is 21002101221211.

It is a junction number, because it is equal to n+sod(n) for n = 112122101200094 and 112122101200103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28805164 + ... + 32465083.

It is an arithmetic number, because the mean of its divisors is an integer number (4301171409600).

Almost surely, 2112122101200120 is an apocalyptic number.

112122101200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112122101200120 is an abundant number, since it is smaller than the sum of its proper divisors (163152869014280).

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

112122101200120 is a wasteful number, since it uses less digits than its factorization.

112122101200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61274428 (or 61274424 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 112122101200120 its reverse (21002101221211), we get a palindrome (133124202421331).

The spelling of 112122101200120 in words is "one hundred twelve trillion, one hundred twenty-two billion, one hundred one million, two hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 4159 8318 16636 20795 33272 41590 45749 83180 91498 166360 182996 228745 365992 457490 914980 1829960 61270247 122540494 245080988 306351235 490161976 612702470 673972717 1225404940 1347945434 2450809880 2695890868 3369863585 5391781736 6739727170 13479454340 26958908680 254822957273 509645914546 1019291829092 1274114786365 2038583658184 2548229572730 2803052530003 5096459145460 5606105060006 10192918290920 11212210120012 14015262650015 22424420240024 28030525300030 56061050600060 112122101200120