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12001122001 = 1117312120563
BaseRepresentation
bin10110010110101001…
…01001011011010001
31010222101020011110001
423023110221123101
5144034241401001
65302505410001
7603253565611
oct131324513321
933871204401
1012001122001
1150a9358650
1223ab199901
13119346842b
1481bc30a41
154a38e3001
hex2cb5296d1

12001122001 has 16 divisors (see below), whose sum is σ = 13867374528. Its totient is φ = 10264550400.

The previous prime is 12001121929. The next prime is 12001122017. The reversal of 12001122001 is 10022110021.

12001122001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12001122001 - 211 = 12001119953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12001128001) 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 15 ways as a sum of consecutive naturals, for example, 573346 + ... + 593908.

It is an arithmetic number, because the mean of its divisors is an integer number (866710908).

Almost surely, 212001122001 is an apocalyptic number.

12001122001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12001122001 is a deficient number, since it is larger than the sum of its proper divisors (1866252527).

12001122001 is a wasteful number, since it uses less digits than its factorization.

12001122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23712.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12001122001 its reverse (10022110021), we get a palindrome (22023232022).

The spelling of 12001122001 in words is "twelve billion, one million, one hundred twenty-two thousand, one".

Divisors: 1 11 17 187 3121 20563 34331 53057 226193 349571 583627 3845281 64177123 705948353 1091011091 12001122001