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12020033201 = 1179139191521
BaseRepresentation
bin10110011000111001…
…10010011010110001
31011000200210221201212
423030130302122301
5144104112030301
65304423005505
7603603411401
oct131434623261
934020727655
1012020033201
115108aa4940
1223b5599895
13119735a0a7
14820554801
154a53cb4bb
hex2cc7326b1

12020033201 has 32 divisors (see below), whose sum is σ = 13470105600. Its totient is φ = 10634832000.

The previous prime is 12020033167. The next prime is 12020033281. The reversal of 12020033201 is 10233002021.

It is a happy number.

12020033201 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 12020033201 - 214 = 12020016817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12020033281) 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 31 ways as a sum of consecutive naturals, for example, 23070821 + ... + 23071341.

It is an arithmetic number, because the mean of its divisors is an integer number (420940800).

Almost surely, 212020033201 is an apocalyptic number.

12020033201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12020033201 is a deficient number, since it is larger than the sum of its proper divisors (1450072399).

12020033201 is a wasteful number, since it uses less digits than its factorization.

12020033201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941.

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 12020033201 its reverse (10233002021), we get a palindrome (22253035222).

The spelling of 12020033201 in words is "twelve billion, twenty million, thirty-three thousand, two hundred one".

Divisors: 1 11 79 139 191 521 869 1529 2101 5731 10981 15089 26549 41159 72419 99511 120791 165979 292039 452749 796609 1094621 2097371 5721101 7861369 13832029 23071081 62932111 86475059 152152319 1092730291 12020033201