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12123433 = 72401617
BaseRepresentation
bin101110001111…
…110100101001
3211210221020001
4232033310221
511100422213
61111503001
7205022200
oct56176451
924727201
1012123433
116930573
124087a61
13268623a
141878237
1510e71dd
hexb8fd29

12123433 has 12 divisors (see below), whose sum is σ = 14160852. Its totient is φ = 10348800.

The previous prime is 12123373. The next prime is 12123439. The reversal of 12123433 is 33432121.

12123433 is digitally balanced in base 3, 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 2 ways, for example, as 6492304 + 5631129 = 2548^2 + 2373^2 .

It is a de Polignac number, because none of the positive numbers 2k-12123433 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12123433.

It is not an unprimeable number, because it can be changed into a prime (12123439) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19341 + ... + 19957.

It is an arithmetic number, because the mean of its divisors is an integer number (1180071).

Almost surely, 212123433 is an apocalyptic number.

It is an amenable number.

12123433 is a deficient number, since it is larger than the sum of its proper divisors (2037419).

12123433 is an equidigital number, since it uses as much as digits as its factorization.

12123433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1025 counting only the distinct ones).

The product of its digits is 432, while the sum is 19.

The square root of 12123433 is about 3481.8720539388. The cubic root of 12123433 is about 229.7251474193.

Adding to 12123433 its reverse (33432121), we get a palindrome (45555554).

The spelling of 12123433 in words is "twelve million, one hundred twenty-three thousand, four hundred thirty-three".

Divisors: 1 7 49 401 617 2807 4319 19649 30233 247417 1731919 12123433