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112202200200120 = 233523317128242811
BaseRepresentation
bin11001100000110000011100…
…010010010011001110111000
3112201021102111020202001201220
4121200300130102103032320
5104201310101222400440
61034344551300512040
732430225055413342
oct3140603422231670
9481242436661656
10112202200200120
113282975a9a9088
12107016559ab620
134a7b811926454
141d9c888ba2292
15ce8983dc08d0
hex660c1c4933b8

112202200200120 has 128 divisors (see below), whose sum is σ = 352349690826240. Its totient is φ = 28529408483840.

The previous prime is 112202200200071. The next prime is 112202200200131. The reversal of 112202200200120 is 21002002202211.

112202200200120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112202200200120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63246486 + ... + 64996325.

It is an arithmetic number, because the mean of its divisors is an integer number (2752731959580).

Almost surely, 2112202200200120 is an apocalyptic number.

112202200200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112202200200120 is an abundant number, since it is smaller than the sum of its proper divisors (240147490626120).

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

112202200200120 is a wasteful number, since it uses less digits than its factorization.

112202200200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128243165 (or 128243161 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 112202200200120 its reverse (21002002202211), we get a palindrome (133204202402331).

The spelling of 112202200200120 in words is "one hundred twelve trillion, two hundred two billion, two hundred million, two hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 317 345 460 552 634 690 920 951 1268 1380 1585 1902 2536 2760 3170 3804 4755 6340 7291 7608 9510 12680 14582 19020 21873 29164 36455 38040 43746 58328 72910 87492 109365 145820 174984 218730 291640 437460 874920 128242811 256485622 384728433 512971244 641214055 769456866 1025942488 1282428110 1538913732 1923642165 2564856220 2949584653 3077827464 3847284330 5129712440 5899169306 7694568660 8848753959 11798338612 14747923265 15389137320 17697507918 23596677224 29495846530 35395015836 40652971087 44243769795 58991693060 70790031672 81305942174 88487539590 117983386120 121958913261 162611884348 176975079180 203264855435 243917826522 325223768696 353950158360 406529710870 487835653044 609794566305 813059421740 935018335001 975671306088 1219589132610 1626118843480 1870036670002 2439178265220 2805055005003 3740073340004 4675091675005 4878356530440 5610110010006 7480146680008 9350183350010 11220220020012 14025275025015 18700366700020 22440440040024 28050550050030 37400733400040 56101100100060 112202200200120