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12011200000211 = 174715032790989
BaseRepresentation
bin1010111011001001001101…
…0011110011000011010011
31120112021000011212001202002
42232302103103303003103
53033242414200001321
641313511420544215
72346531506313236
oct256622323630323
946467004761662
1012011200000211
113910a152a5825
12141ba266b206b
13691860ba1649
142d74b927141d
1515c68b31920b
hexaec934f30d3

12011200000211 has 8 divisors (see below), whose sum is σ = 12988331415360. Its totient is φ = 11064134167168.

The previous prime is 12011200000187. The next prime is 12011200000223. The reversal of 12011200000211 is 11200000211021.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12011200000211 is a prime.

It is a super-4 number, since 4×120112000002114 (a number of 53 digits) contains 4444 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12011200000192 and 12011200000201.

It is not an unprimeable number, because it can be changed into a prime (12011200000271) 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 7 ways as a sum of consecutive naturals, for example, 7516394696 + ... + 7516396293.

It is an arithmetic number, because the mean of its divisors is an integer number (1623541426920).

Almost surely, 212011200000211 is an apocalyptic number.

12011200000211 is a deficient number, since it is larger than the sum of its proper divisors (977131415149).

12011200000211 is a wasteful number, since it uses less digits than its factorization.

12011200000211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15032791053.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12011200000211 its reverse (11200000211021), we get a palindrome (23211200211232).

The spelling of 12011200000211 in words is "twelve trillion, eleven billion, two hundred million, two hundred eleven", and thus it is an aban number.

Divisors: 1 17 47 799 15032790989 255557446813 706541176483 12011200000211