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120201002112 = 273628749789
BaseRepresentation
bin110111111110010001…
…0011011110010000000
3102111021000101120120010
41233330202123302000
53432132424031422
6131115232344520
711453456442252
oct1577442336200
9374230346503
10120201002112
1146a82371a74
121b3670a5140
13b447a32829
145b63d09cd2
1531d795bb0c
hex1bfc89bc80

120201002112 has 64 divisors (see below), whose sum is σ = 319341110400. Its totient is φ = 40059823104.

The previous prime is 120201002107. The next prime is 120201002123. The reversal of 120201002112 is 211200102021.

It is a tau number, because it is divible by the number of its divisors (64).

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

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 7 ways as a sum of consecutive naturals, for example, 2389314 + ... + 2439102.

It is an arithmetic number, because the mean of its divisors is an integer number (4989704850).

Almost surely, 2120201002112 is an apocalyptic number.

120201002112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120201002112 is an abundant number, since it is smaller than the sum of its proper divisors (199140108288).

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

120201002112 is an equidigital number, since it uses as much as digits as its factorization.

120201002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56093 (or 56081 counting only the distinct ones).

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

Adding to 120201002112 its reverse (211200102021), we get a palindrome (331401104133).

Subtracting 120201002112 from its reverse (211200102021), we obtain a palindrome (90999099909).

The spelling of 120201002112 in words is "one hundred twenty billion, two hundred one million, two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 6287 12574 18861 25148 37722 49789 50296 75444 99578 100592 149367 150888 199156 201184 298734 301776 398312 402368 597468 603552 796624 804736 1194936 1207104 1593248 2389872 2414208 3186496 4779744 6372992 9559488 19118976 313023443 626046886 939070329 1252093772 1878140658 2504187544 3756281316 5008375088 7512562632 10016750176 15025125264 20033500352 30050250528 40067000704 60100501056 120201002112