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12201211002100 = 2252144073846877
BaseRepresentation
bin1011000110001101000011…
…0110001111110011110100
31121012102110101002001212111
42301203100312033303310
53044401040004031400
641541054200100404
72366336245216621
oct261432066176364
947172411061774
1012201211002100
11398456058688a
121450814a64704
136a6752885c43
14302782855348
151625ac8553ba
hexb18d0d8fcf4

12201211002100 has 36 divisors (see below), whose sum is σ = 26476842910924. Its totient is φ = 4880444762880.

The previous prime is 12201211002061. The next prime is 12201211002103. The reversal of 12201211002100 is 120011210221.

It can be written as a sum of positive squares in 6 ways, for example, as 19966255204 + 12181244746896 = 141302^2 + 3490164^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201211002103) 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, 13983862 + ... + 14830738.

Almost surely, 212201211002100 is an apocalyptic number.

12201211002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12201211002100 is an abundant number, since it is smaller than the sum of its proper divisors (14275631908824).

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

12201211002100 is a wasteful number, since it uses less digits than its factorization.

12201211002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990964 (or 990957 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12201211002100 its reverse (120011210221), we get a palindrome (12321222212321).

The spelling of 12201211002100 in words is "twelve trillion, two hundred one billion, two hundred eleven million, two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 144073 288146 576292 720365 846877 1440730 1693754 2881460 3387508 3601825 4234385 7203650 8468770 14407300 16937540 21171925 42343850 84687700 122012110021 244024220042 488048440084 610060550105 1220121100210 2440242200420 3050302750525 6100605501050 12201211002100