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120221002001200 = 2452476394734149
BaseRepresentation
bin11011010101011100100010…
…000111100110101100110000
3120202200000102100000220221011
4123111130202013212230300
5111224200103003014300
61103404433232440304
734215452334202312
oct3325344207465460
9522600370026834
10120221002001200
11353404935247a1
12115977763a9094
135210a3a8b1799
142198a285457b2
15dd73567beeba
hex6d57221e6b30

120221002001200 has 60 divisors (see below), whose sum is σ = 294976296871200. Its totient is φ = 47065243329280.

The previous prime is 120221002001197. The next prime is 120221002001209. The reversal of 120221002001200 is 2100200122021.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (120221002001209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3197348275 + ... + 3197385874.

It is an arithmetic number, because the mean of its divisors is an integer number (4916271614520).

Almost surely, 2120221002001200 is an apocalyptic number.

120221002001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120221002001200 is an abundant number, since it is smaller than the sum of its proper divisors (174755294870000).

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

120221002001200 is a wasteful number, since it uses less digits than its factorization.

120221002001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6394734214 (or 6394734203 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 120221002001200 its reverse (2100200122021), we get a palindrome (122321202123221).

The spelling of 120221002001200 in words is "one hundred twenty trillion, two hundred twenty-one billion, two million, one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 47 50 80 94 100 188 200 235 376 400 470 752 940 1175 1880 2350 3760 4700 9400 18800 6394734149 12789468298 25578936596 31973670745 51157873192 63947341490 102315746384 127894682980 159868353725 255789365960 300552505003 319736707450 511578731920 601105010006 639473414900 1202210020012 1278946829800 1502762525015 2404420040024 2557893659600 3005525050030 4808840080048 6011050100060 7513812625075 12022100200120 15027625250150 24044200400240 30055250500300 60110501000600 120221002001200