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12002012011 = 113744965677
BaseRepresentation
bin10110010110110000…
…00010101101101011
31010222102220101022101
423023120002231223
5144040003341021
65302540434231
7603264263443
oct131330025553
933872811271
1012002012011
1150a99062a0
1223ab548977
1311936ba572
1481bdc3123
154a3a1ba91
hex2cb602b6b

12002012011 has 16 divisors (see below), whose sum is σ = 13477125600. Its totient is φ = 10592225280.

The previous prime is 12002011993. The next prime is 12002012027. The reversal of 12002012011 is 11021020021.

12002012011 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 12002012011 - 211 = 12002009963 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12002012081) 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, 149905 + ... + 215581.

It is an arithmetic number, because the mean of its divisors is an integer number (842320350).

Almost surely, 212002012011 is an apocalyptic number.

12002012011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12002012011 is a deficient number, since it is larger than the sum of its proper divisors (1475113589).

12002012011 is a wasteful number, since it uses less digits than its factorization.

12002012011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66174.

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

Adding to 12002012011 its reverse (11021020021), we get a palindrome (23023032032).

The spelling of 12002012011 in words is "twelve billion, two million, twelve thousand, eleven".

Divisors: 1 11 37 407 449 4939 16613 65677 182743 722447 2430049 26730539 29488973 324378703 1091092001 12002012011