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112120202022120 = 233251013083613917
BaseRepresentation
bin11001011111100100000100…
…110100000100110011101000
3112200222120211122201000211100
4121133210010310010303220
5104143434133204201440
61034243150523201400
732421263061406035
oct3137440464046350
9480876748630740
10112120202022120
11327a7a0208a326
12106a9790976260
134a73b748346b6
141d9890a8c438c
15ce678529e230
hex65f904d04ce8

112120202022120 has 96 divisors (see below), whose sum is σ = 367998484974120. Its totient is φ = 29602693593600.

The previous prime is 112120202022011. The next prime is 112120202022161. The reversal of 112120202022120 is 21220202021211.

It is a happy number.

112120202022120 is a `hidden beast` number, since 11 + 212 + 0 + 202 + 0 + 221 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 107865132442596 + 4255069579524 = 10385814^2 + 2062782^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112120202022093 and 112120202022102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1541770599 + ... + 1541843318.

Almost surely, 2112120202022120 is an apocalyptic number.

112120202022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112120202022120 is an abundant number, since it is smaller than the sum of its proper divisors (255878282952000).

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

112120202022120 is a wasteful number, since it uses less digits than its factorization.

112120202022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3083614035 (or 3083614028 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 112120202022120 its reverse (21220202021211), we get a palindrome (133340404043331).

Subtracting from 112120202022120 its reverse (21220202021211), we obtain a palindrome (90900000000909).

The spelling of 112120202022120 in words is "one hundred twelve trillion, one hundred twenty billion, two hundred two million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 101 120 180 202 303 360 404 505 606 808 909 1010 1212 1515 1818 2020 2424 3030 3636 4040 4545 6060 7272 9090 12120 18180 36360 3083613917 6167227834 9250841751 12334455668 15418069585 18501683502 24668911336 27752525253 30836139170 37003367004 46254208755 55505050506 61672278340 74006734008 92508417510 111010101012 123344556680 138762626265 185016835020 222020202024 277525252530 311445005617 370033670040 555050505060 622890011234 934335016851 1110101010120 1245780022468 1557225028085 1868670033702 2491560044936 2803005050553 3114450056170 3737340067404 4671675084255 5606010101106 6228900112340 7474680134808 9343350168510 11212020202212 12457800224680 14015025252765 18686700337020 22424040404424 28030050505530 37373400674040 56060101011060 112120202022120