Search a number
-
+
12424112420 = 2253160733013
BaseRepresentation
bin10111001001000100…
…01110100100100100
31012001212011022012212
423210202032210210
5200421033044140
65412455502552
7616611133046
oct134442164444
935055138185
1012424112420
1152a60a6605
1224a8987a58
13122cc99315
1485c09ba96
154caae8765
hex2e488e924

12424112420 has 48 divisors (see below), whose sum is σ = 26977456128. Its totient is φ = 4801265280.

The previous prime is 12424112413. The next prime is 12424112527. The reversal of 12424112420 is 2421142421.

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, 359834 + ... + 392846.

It is an arithmetic number, because the mean of its divisors is an integer number (562030336).

Almost surely, 212424112420 is an apocalyptic number.

12424112420 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 12424112420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13488728064).

12424112420 is an abundant number, since it is smaller than the sum of its proper divisors (14553343708).

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

12424112420 is a wasteful number, since it uses less digits than its factorization.

12424112420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33660 (or 33658 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 12424112420 its reverse (2421142421), we get a palindrome (14845254841).

The spelling of 12424112420 in words is "twelve billion, four hundred twenty-four million, one hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 607 620 1214 2428 3035 6070 12140 18817 33013 37634 66026 75268 94085 132052 165065 188170 330130 376340 660260 1023403 2046806 4093612 5117015 10234030 20038891 20468060 40077782 80155564 100194455 200388910 400777820 621205621 1242411242 2484822484 3106028105 6212056210 12424112420