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120221001122200 = 235211431270835107
BaseRepresentation
bin11011010101011100100010…
…000100010000000110011000
3120202200000102021101021011121
4123111130202010100012120
5111224200102241402300
61103404433201535024
734215452323551526
oct3325344204200630
9522600367337147
10120221001122200
1135340492a84350
1211597776044474
135210a3a664674
142198a28397316
15dd735669981a
hex6d5722110198

120221001122200 has 96 divisors (see below), whose sum is σ = 312015435716160. Its totient is φ = 42700059561600.

The previous prime is 120221001122197. The next prime is 120221001122219. The reversal of 120221001122200 is 2221100122021.

It is a happy number.

It is a super-2 number, since 2×1202210011222002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 635322954 + ... + 635512153.

It is an arithmetic number, because the mean of its divisors is an integer number (3250160788710).

Almost surely, 2120221001122200 is an apocalyptic number.

120221001122200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120221001122200 is an abundant number, since it is smaller than the sum of its proper divisors (191794434593960).

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

120221001122200 is a wasteful number, since it uses less digits than its factorization.

120221001122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270835177 (or 1270835168 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 120221001122200 its reverse (2221100122021), we get a palindrome (122442101244221).

The spelling of 120221001122200 in words is "one hundred twenty trillion, two hundred twenty-one billion, one million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 43 44 50 55 86 88 100 110 172 200 215 220 275 344 430 440 473 550 860 946 1075 1100 1720 1892 2150 2200 2365 3784 4300 4730 8600 9460 11825 18920 23650 47300 94600 1270835107 2541670214 5083340428 6354175535 10166680856 12708351070 13979186177 25416702140 27958372354 31770877675 50833404280 54645909601 55916744708 63541755350 69895930885 109291819202 111833489416 127083510700 139791861770 218583638404 254167021400 273229548005 279583723540 349479654425 437167276808 546459096010 559167447080 601105005611 698959308850 1092918192020 1202210011222 1366147740025 1397918617700 2185836384040 2404420022444 2732295480050 2795837235400 3005525028055 4808840044888 5464590960100 6011050056110 10929181920200 12022100112220 15027625140275 24044200224440 30055250280550 60110500561100 120221001122200