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112010012221200 = 243523731842767
BaseRepresentation
bin11001011101111101011100…
…111111010101111100010000
3112200121001102100011011112120
4121131331130333111330100
5104140133001112034300
61034120404513254240
732410312343510112
oct3135753477257420
9480531370134476
10112010012221200
11327651a7892a55
121069035a564380
134a66663c11872
141d934564153b2
15ce39866b43a0
hex65df5cfd5f10

112010012221200 has 240 divisors, whose sum is σ = 368772225995520. Its totient is φ = 29062041454080.

The previous prime is 112010012221199. The next prime is 112010012221229. The reversal of 112010012221200 is 2122210010211.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112010012221200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59862217 + ... + 61704983.

It is an arithmetic number, because the mean of its divisors is an integer number (1536550941648).

Almost surely, 2112010012221200 is an apocalyptic number.

112010012221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112010012221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184386112997760).

112010012221200 is an abundant number, since it is smaller than the sum of its proper divisors (256762213774320).

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

112010012221200 is an equidigital number, since it uses as much as digits as its factorization.

112010012221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1842899 (or 1842814 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 112010012221200 its reverse (2122210010211), we get a palindrome (114132222231411).

The spelling of 112010012221200 in words is "one hundred twelve trillion, ten billion, twelve million, two hundred twenty-one thousand, two hundred".