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12000220191 = 3212591059061
BaseRepresentation
bin10110010110100010…
…01101010000011111
31010222022112100101200
423023101031100133
5144034024021231
65302434210543
7603243121461
oct131321152037
933868470350
1012000220191
1150a88a2053
1223aaa23a53
131193210b0b
1481ba78131
154a37b5be6
hex2cb44d41f

12000220191 has 12 divisors (see below), whose sum is σ = 17347435560. Its totient is φ = 7993784880.

The previous prime is 12000220157. The next prime is 12000220223. The reversal of 12000220191 is 19102200021.

12000220191 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12000220191 - 213 = 12000211999 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000220891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 518200 + ... + 540861.

It is an arithmetic number, because the mean of its divisors is an integer number (1445619630).

Almost surely, 212000220191 is an apocalyptic number.

12000220191 is a deficient number, since it is larger than the sum of its proper divisors (5347215369).

12000220191 is a wasteful number, since it uses less digits than its factorization.

12000220191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060326 (or 1060323 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 12000220191 in words is "twelve billion, two hundred twenty thousand, one hundred ninety-one".

Divisors: 1 3 9 1259 3777 11331 1059061 3177183 9531549 1333357799 4000073397 12000220191