Search a number
-
+
12004431420 = 22351925141953
BaseRepresentation
bin10110010111000010…
…10001011000111100
31010222121110022010010
423023201101120330
5144041113301140
65303104343220
7603323661222
oct131341213074
933877408103
1012004431420
115100209003
1223b0314b10
131194056877
1481c452b12
154a3d48880
hex2cb85163c

12004431420 has 96 divisors (see below), whose sum is σ = 35523290880. Its totient is φ = 3020544000.

The previous prime is 12004431409. The next prime is 12004431427. The reversal of 12004431420 is 2413440021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12004431427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265164 + ... + 307116.

It is an arithmetic number, because the mean of its divisors is an integer number (370034280).

Almost surely, 212004431420 is an apocalyptic number.

12004431420 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 12004431420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17761645440).

12004431420 is an abundant number, since it is smaller than the sum of its proper divisors (23518859460).

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

12004431420 is a wasteful number, since it uses less digits than its factorization.

12004431420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42235 (or 42233 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 12004431420 its reverse (2413440021), we get a palindrome (14417871441).

The spelling of 12004431420 in words is "twelve billion, four million, four hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 251 285 380 502 570 753 1004 1140 1255 1506 2510 3012 3765 4769 5020 7530 9538 14307 15060 19076 23845 28614 41953 47690 57228 71535 83906 95380 125859 143070 167812 209765 251718 286140 419530 503436 629295 797107 839060 1258590 1594214 2391321 2517180 3188428 3985535 4782642 7971070 9565284 10530203 11956605 15942140 21060406 23913210 31590609 42120812 47826420 52651015 63181218 105302030 126362436 157953045 200073857 210604060 315906090 400147714 600221571 631812180 800295428 1000369285 1200443142 2000738570 2400886284 3001107855 4001477140 6002215710 12004431420