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12240213104 = 2473122315809
BaseRepresentation
bin10110110011001001…
…01101010001110000
31011121001010020210002
423121210231101300
5200031443304404
65342330125132
7612216044330
oct133144552160
934531106702
1012240213104
1152113102a9
1224572807a8
131200b5b662
148418ab0c0
154b98bec1e
hex2d992d470

12240213104 has 80 divisors (see below), whose sum is σ = 28104867840. Its totient is φ = 5053501440.

The previous prime is 12240213043. The next prime is 12240213131. The reversal of 12240213104 is 40131204221.

It is a super-3 number, since 3×122402131043 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 766352 + ... + 782160.

It is an arithmetic number, because the mean of its divisors is an integer number (351310848).

Almost surely, 212240213104 is an apocalyptic number.

12240213104 is a gapful number since it is divisible by the number (14) 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 12240213104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14052433920).

12240213104 is an abundant number, since it is smaller than the sum of its proper divisors (15864654736).

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

12240213104 is a wasteful number, since it uses less digits than its factorization.

12240213104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16078 (or 16072 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 12240213104 its reverse (40131204221), we get a palindrome (52371417325).

The spelling of 12240213104 in words is "twelve billion, two hundred forty million, two hundred thirteen thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 223 248 434 446 496 868 892 1561 1736 1784 3122 3472 3568 6244 6913 12488 13826 15809 24976 27652 31618 48391 55304 63236 96782 110608 110663 126472 193564 221326 252944 387128 442652 490079 774256 885304 980158 1770608 1960316 3430553 3525407 3920632 6861106 7050814 7841264 13722212 14101628 24677849 27444424 28203256 49355698 54888848 56406512 98711396 109287617 197422792 218575234 394845584 437150468 765013319 874300936 1530026638 1748601872 3060053276 6120106552 12240213104