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12001120011 = 3227738312569
BaseRepresentation
bin10110010110101001…
…01000111100001011
31010222101020001201100
423023110220330023
5144034241320021
65302505352443
7603253560036
oct131324507413
933871201640
1012001120011
1150a9357101
1223ab198723
13119346755a
1481bc3001d
154a38e2626
hex2cb528f0b

12001120011 has 24 divisors (see below), whose sum is σ = 17444344320. Its totient is φ = 7950416256.

The previous prime is 12001119997. The next prime is 12001120037. The reversal of 12001120011 is 11002110021.

It is a happy number.

12001120011 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 12001120011 - 26 = 12001119947 is a prime.

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 = 12001119975 and 12001120002.

It is not an unprimeable number, because it can be changed into a prime (12001020011) 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 23 ways as a sum of consecutive naturals, for example, 948535 + ... + 961103.

It is an arithmetic number, because the mean of its divisors is an integer number (726847680).

Almost surely, 212001120011 is an apocalyptic number.

12001120011 is a deficient number, since it is larger than the sum of its proper divisors (5443224309).

12001120011 is a wasteful number, since it uses less digits than its factorization.

12001120011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13235 (or 13232 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12001120011 its reverse (11002110021), we get a palindrome (23003230032).

It can be divided in two parts, 1200 and 1120011, that added together give a palindrome (1121211).

The spelling of 12001120011 in words is "twelve billion, one million, one hundred twenty thousand, eleven".

Divisors: 1 3 9 277 383 831 1149 2493 3447 12569 37707 106091 113121 318273 954819 3481613 4813927 10444839 14441781 31334517 43325343 1333457779 4000373337 12001120011