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12034321012 = 22741773709
BaseRepresentation
bin10110011010100110…
…10010101001110100
31011001200200211221001
423031103102221310
5144121241233022
65310053133044
7604136020000
oct131523225164
934050624831
1012034321012
11511607354a
1223ba32a184
13119a2c050c
148223d3700
154a679eb27
hex2cd4d2a74

12034321012 has 60 divisors (see below), whose sum is σ = 26014175460. Its totient is φ = 4854114048.

The previous prime is 12034320997. The next prime is 12034321051. The reversal of 12034321012 is 21012343021.

It is a happy number.

12034321012 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 2 ways, for example, as 3958423056 + 8075897956 = 62916^2 + 89866^2 .

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 19 ways as a sum of consecutive naturals, for example, 126414 + ... + 200122.

It is an arithmetic number, because the mean of its divisors is an integer number (433569591).

Almost surely, 212034321012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12034321012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13007087730).

12034321012 is an abundant number, since it is smaller than the sum of its proper divisors (13979854448).

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

12034321012 is an equidigital number, since it uses as much as digits as its factorization.

12034321012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73758 (or 73735 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 12034321012 its reverse (21012343021), we get a palindrome (33046664033).

The spelling of 12034321012 in words is "twelve billion, thirty-four million, three hundred twenty-one thousand, twelve".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 343 476 686 833 1372 1666 2401 3332 4802 5831 9604 11662 23324 40817 73709 81634 147418 163268 294836 515963 1031926 1253053 2063852 2506106 3611741 5012212 7223482 8771371 14446964 17542742 25282187 35085484 50564374 61399597 101128748 122799194 176975309 245598388 353950618 429797179 707901236 859594358 1719188716 3008580253 6017160506 12034321012