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120201221012200 = 23521315145700411
BaseRepresentation
bin11011010101001010000111…
…000101000111101011101000
3120202121010100202121120021221
4123111022013011013223220
5111223334100034342300
61103351402325311424
734214152211442406
oct3325120705075350
9522533322546257
10120201221012200
11353330626929a9
1211593975865574
13520bc076b9373
142197aad390476
15dd6a99db631a
hex6d5287147ae8

120201221012200 has 48 divisors (see below), whose sum is σ = 279489095660160. Its totient is φ = 48076831320000.

The previous prime is 120201221012179. The next prime is 120201221012209. The reversal of 120201221012200 is 2210122102021.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (120201221012209) 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, 20220006 + ... + 25480405.

It is an arithmetic number, because the mean of its divisors is an integer number (5822689492920).

Almost surely, 2120201221012200 is an apocalyptic number.

120201221012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120201221012200 is an abundant number, since it is smaller than the sum of its proper divisors (159287874647960).

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

120201221012200 is a wasteful number, since it uses less digits than its factorization.

120201221012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45713578 (or 45713569 counting only the distinct ones).

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

Adding to 120201221012200 its reverse (2210122102021), we get a palindrome (122411343114221).

The spelling of 120201221012200 in words is "one hundred twenty trillion, two hundred one billion, two hundred twenty-one million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 13151 26302 52604 65755 105208 131510 263020 328775 526040 657550 1315100 2630200 45700411 91400822 182801644 228502055 365603288 457004110 914008220 1142510275 1828016440 2285020550 4570041100 9140082200 601006105061 1202012210122 2404024420244 3005030525305 4808048840488 6010061050610 12020122101220 15025152626525 24040244202440 30050305253050 60100610506100 120201221012200