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12035423232 = 210347191091
BaseRepresentation
bin10110011010101110…
…11111110000000000
31011001202202211220000
423031113133300000
5144122032020412
65310132520000
7604151260320
oct131527376000
934052684800
1012035423232
115116756678
1223ba780000
13119a5b8111
148225dd280
154a691b4dc
hex2cd5dfc00

12035423232 has 440 divisors, whose sum is σ = 43275872640. Its totient is φ = 3254722560.

The previous prime is 12035423227. The next prime is 12035423273. The reversal of 12035423232 is 23232453021.

12035423232 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 5 + 423 + 232 = 666.

12035423232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12035423196 and 12035423205.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 11031007 + ... + 11032097.

It is an arithmetic number, because the mean of its divisors is an integer number (98354256).

Almost surely, 212035423232 is an apocalyptic number.

12035423232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12035423232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21637936320).

12035423232 is an abundant number, since it is smaller than the sum of its proper divisors (31240449408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12035423232 is a wasteful number, since it uses less digits than its factorization.

12035423232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 12035423232 its reverse (23232453021), we get a palindrome (35267876253).

The spelling of 12035423232 in words is "twelve billion, thirty-five million, four hundred twenty-three thousand, two hundred thirty-two".