Search a number
-
+
12044110120 = 2357894791009
BaseRepresentation
bin10110011011110001…
…01000100100101000
31011002101010012001121
423031320220210220
5144131243010440
65311043025024
7604315150450
oct131570504450
934071105047
1012044110120
11512064a219
12240166b174
13119c33a0a3
14823820d60
154a758534a
hex2cde28928

12044110120 has 128 divisors (see below), whose sum is σ = 31415040000. Its totient is φ = 4070449152.

The previous prime is 12044110087. The next prime is 12044110123. The reversal of 12044110120 is 2101144021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12044110094 and 12044110103.

It is not an unprimeable number, because it can be changed into a prime (12044110123) 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, 11936176 + ... + 11937184.

It is an arithmetic number, because the mean of its divisors is an integer number (245430000).

Almost surely, 212044110120 is an apocalyptic number.

12044110120 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 12044110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15707520000).

12044110120 is an abundant number, since it is smaller than the sum of its proper divisors (19370929880).

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

12044110120 is a wasteful number, since it uses less digits than its factorization.

12044110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595 (or 1591 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12044110120 its reverse (2101144021), we get a palindrome (14145254141).

The spelling of 12044110120 in words is "twelve billion, forty-four million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 89 140 178 280 356 445 479 623 712 890 958 1009 1246 1780 1916 2018 2395 2492 3115 3353 3560 3832 4036 4790 4984 5045 6230 6706 7063 8072 9580 10090 12460 13412 14126 16765 19160 20180 24920 26824 28252 33530 35315 40360 42631 56504 67060 70630 85262 89801 134120 141260 170524 179602 213155 282520 298417 341048 359204 426310 449005 483311 596834 628607 718408 852620 898010 966622 1193668 1257214 1492085 1705240 1796020 1933244 2387336 2416555 2514428 2984170 3143035 3383177 3592040 3866488 4833110 5028856 5968340 6286070 6766354 9666220 11936680 12572140 13532708 16915885 19332440 25144280 27065416 33831770 43014679 67663540 86029358 135327080 172058716 215073395 301102753 344117432 430146790 602205506 860293580 1204411012 1505513765 1720587160 2408822024 3011027530 6022055060 12044110120