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12124120333 = 13317324617
BaseRepresentation
bin10110100101010011…
…10110010100001101
31011021221200010102211
423102221312110031
5144312233322313
65323021550421
7606306215413
oct132251662415
934257603384
1012124120333
115161828066
122424415411
1311b2aa2000
148302cb2b3
154ae5dbe3d
hex2d2a7650d

12124120333 has 16 divisors (see below), whose sum is σ = 13906635120. Its totient is φ = 10533139968.

The previous prime is 12124120313. The next prime is 12124120363. The reversal of 12124120333 is 33302142121.

12124120333 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 7488825444 + 4635294889 = 86538^2 + 68083^2 .

It is not a de Polignac number, because 12124120333 - 213 = 12124112141 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12124120313) 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, 124960 + ... + 199657.

It is an arithmetic number, because the mean of its divisors is an integer number (869164695).

Almost surely, 212124120333 is an apocalyptic number.

12124120333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12124120333 is a deficient number, since it is larger than the sum of its proper divisors (1782514787).

12124120333 is an equidigital number, since it uses as much as digits as its factorization.

12124120333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324673 (or 324647 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 12124120333 its reverse (33302142121), we get a palindrome (45426262454).

The spelling of 12124120333 in words is "twelve billion, one hundred twenty-four million, one hundred twenty thousand, three hundred thirty-three".

Divisors: 1 13 17 169 221 2197 2873 37349 324617 4220021 5518489 54860273 71740357 713183549 932624641 12124120333