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12000222100100 = 2252139230940077
BaseRepresentation
bin1010111010100000010011…
…1110011011101010000100
31120111012200002222221212002
42232220010332123222010
53033102423324200400
641304454222244432
72345662455563453
oct256500476335204
946435602887762
1012000222100100
1139072a1591a03
121419882126718
13690801714170
142d6b572b4b9a
1515c247692ed5
hexaea04f9ba84

12000222100100 has 36 divisors (see below), whose sum is σ = 28043595956964. Its totient is φ = 4430851236480.

The previous prime is 12000222099991. The next prime is 12000222100129. The reversal of 12000222100100 is 100122200021.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 5484291136 + 11994737808964 = 74056^2 + 3463342^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4615468739 + ... + 4615471338.

Almost surely, 212000222100100 is an apocalyptic number.

12000222100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000222100100 is an abundant number, since it is smaller than the sum of its proper divisors (16043373856864).

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

12000222100100 is a wasteful number, since it uses less digits than its factorization.

12000222100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9230940104 (or 9230940097 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12000222100100 its reverse (100122200021), we get a palindrome (12100344300121).

The spelling of 12000222100100 in words is "twelve trillion, two hundred twenty-two million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 9230940077 18461880154 36923760308 46154700385 92309400770 120002221001 184618801540 230773501925 240004442002 461547003850 480008884004 600011105005 923094007700 1200022210010 2400044420020 3000055525025 6000111050050 12000222100100