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12424040420 = 22511210874723
BaseRepresentation
bin10111001001000011…
…11100111111100100
31012001212000122110012
423210201330333210
5200421023243140
65412454145352
7616610413121
oct134441747744
935055018405
1012424040420
1152a6057500
1224a8952258
13122cc7260c
1485c07d748
154caad2265
hex2e487cfe4

12424040420 has 72 divisors (see below), whose sum is σ = 28710431232. Its totient is φ = 4512720960.

The previous prime is 12424040417. The next prime is 12424040429. The reversal of 12424040420 is 2404042421.

It is not an unprimeable number, because it can be changed into a prime (12424040429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2628179 + ... + 2632901.

Almost surely, 212424040420 is an apocalyptic number.

12424040420 is a gapful number since it is divisible by the number (10) 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 12424040420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14355215616).

12424040420 is an abundant number, since it is smaller than the sum of its proper divisors (16286390812).

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

12424040420 is a wasteful number, since it uses less digits than its factorization.

12424040420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5841 (or 5828 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

Adding to 12424040420 its reverse (2404042421), we get a palindrome (14828082841).

The spelling of 12424040420 in words is "twelve billion, four hundred twenty-four million, forty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1087 1210 2174 2420 4348 4723 5435 9446 10870 11957 18892 21740 23615 23914 47230 47828 51953 59785 94460 103906 119570 131527 207812 239140 259765 263054 519530 526108 571483 657635 1039060 1142966 1315270 2285932 2630540 2857415 5133901 5714830 10267802 11429660 20535604 25669505 51339010 56472911 102678020 112945822 225891644 282364555 564729110 621202021 1129458220 1242404042 2484808084 3106010105 6212020210 12424040420