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12404443320 = 2332556576091
BaseRepresentation
bin10111000110101110…
…01100100010111000
31012000111011000021200
423203113030202320
5200401014141240
65410514134200
7616252012533
oct134327144270
935014130250
1012404443320
115295a91955
1224a2281360
131228ba06b9
1485961ba1a
154c9010930
hex2e35cc8b8

12404443320 has 96 divisors (see below), whose sum is σ = 40328187120. Its totient is φ = 3306723840.

The previous prime is 12404443319. The next prime is 12404443327. The reversal of 12404443320 is 2334440421.

It is a happy number.

12404443320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12404443327) 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 23 ways as a sum of consecutive naturals, for example, 2033475 + ... + 2039565.

Almost surely, 212404443320 is an apocalyptic number.

12404443320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12404443320 is an abundant number, since it is smaller than the sum of its proper divisors (27923743800).

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

12404443320 is a wasteful number, since it uses less digits than its factorization.

12404443320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11765 (or 11758 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 12404443320 its reverse (2334440421), we get a palindrome (14738883741).

The spelling of 12404443320 in words is "twelve billion, four hundred four million, four hundred forty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 5657 6091 11314 12182 16971 18273 22628 24364 28285 30455 33942 36546 45256 48728 50913 54819 56570 60910 67884 73092 84855 91365 101826 109638 113140 121820 135768 146184 169710 182730 203652 219276 226280 243640 254565 274095 339420 365460 407304 438552 509130 548190 678840 730920 1018260 1096380 2036520 2192760 34456787 68913574 103370361 137827148 172283935 206740722 275654296 310111083 344567870 413481444 516851805 620222166 689135740 826962888 1033703610 1240444332 1378271480 1550555415 2067407220 2480888664 3101110830 4134814440 6202221660 12404443320