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211200012 = 223213274421
BaseRepresentation
bin11001001011010…
…10100000001100
3112201102001221200
430211222200030
5413031400022
632542425500
75143112322
oct1445524014
9481361850
10211200012
11a9242771
125a892290
13349a912a
1420099d12
151381cbac
hexc96a80c

211200012 has 36 divisors (see below), whose sum is σ = 534389856. Its totient is φ = 70331040.

The previous prime is 211200001. The next prime is 211200037. The reversal of 211200012 is 210002112.

211200012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 211199967 and 211200003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45562 + ... + 49982.

Almost surely, 2211200012 is an apocalyptic number.

It is an amenable number.

211200012 is an abundant number, since it is smaller than the sum of its proper divisors (323189844).

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

211200012 is a wasteful number, since it uses less digits than its factorization.

211200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5758 (or 5753 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 211200012 is about 14532.7221125294. The cubic root of 211200012 is about 595.5222324604.

Adding to 211200012 its reverse (210002112), we get a palindrome (421202124).

It can be divided in two parts, 21 and 1200012, that multiplied together give a palindrome (25200252).

The spelling of 211200012 in words is "two hundred eleven million, two hundred thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 1327 2654 3981 4421 5308 7962 8842 11943 13263 15924 17684 23886 26526 39789 47772 53052 79578 159156 5866667 11733334 17600001 23466668 35200002 52800003 70400004 105600006 211200012