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2201120101200 = 243524434140557
BaseRepresentation
bin100000000001111100111…
…110110101001101010000
321210102110211210120110010
4200001330332311031100
5242030343221214300
64403103002434520
7315011544105156
oct40017476651520
97712424716403
102201120101200
11779542a06659
122b6712802a40
1312c745951707
147876b6233d6
153c3c9958a50
hex2007cfb5350

2201120101200 has 120 divisors (see below), whose sum is σ = 7066839398688. Its totient is φ = 585640240640.

The previous prime is 2201120101199. The next prime is 2201120101247. The reversal of 2201120101200 is 21010211022.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1538679 + ... + 2601878.

Almost surely, 22201120101200 is an apocalyptic number.

2201120101200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2201120101200 is an abundant number, since it is smaller than the sum of its proper divisors (4865719297488).

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

2201120101200 is a wasteful number, since it uses less digits than its factorization.

2201120101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4141021 (or 4141010 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2201120101200 its reverse (21010211022), we get a palindrome (2222130312222).

The spelling of 2201120101200 in words is "two trillion, two hundred one billion, one hundred twenty million, one hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 443 600 886 1200 1329 1772 2215 2658 3544 4430 5316 6645 7088 8860 10632 11075 13290 17720 21264 22150 26580 33225 35440 44300 53160 66450 88600 106320 132900 177200 265800 531600 4140557 8281114 12421671 16562228 20702785 24843342 33124456 41405570 49686684 62108355 66248912 82811140 99373368 103513925 124216710 165622280 198746736 207027850 248433420 310541775 331244560 414055700 496866840 621083550 828111400 993733680 1242167100 1656222800 1834266751 2484334200 3668533502 4968668400 5502800253 7337067004 9171333755 11005600506 14674134008 18342667510 22011201012 27514001265 29348268016 36685335020 44022402024 45856668775 55028002530 73370670040 88044804048 91713337550 110056005060 137570006325 146741340080 183426675100 220112010120 275140012650 366853350200 440224020240 550280025300 733706700400 1100560050600 2201120101200