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12404103120 = 2432591118911
BaseRepresentation
bin10111000110101011…
…11001011111010000
31012000110111201121200
423203111321133100
5200400422244440
65410502551200
7616246064643
oct134325713720
935013451550
1012404103120
11529587a2a2
1224a2138500
131228ab18b6
1485956da5a
154c8e94c30
hex2e35797d0

12404103120 has 120 divisors (see below), whose sum is σ = 41705044992. Its totient is φ = 3303955200.

The previous prime is 12404103071. The next prime is 12404103143. The reversal of 12404103120 is 2130140421.

12404103120 is a `hidden beast` number, since 1 + 240 + 410 + 3 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12404103093 and 12404103102.

It is a congruent number.

It is an unprimeable number.

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, 646465 + ... + 665375.

Almost surely, 212404103120 is an apocalyptic number.

12404103120 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 12404103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20852522496).

12404103120 is an abundant number, since it is smaller than the sum of its proper divisors (29300941872).

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

12404103120 is a wasteful number, since it uses less digits than its factorization.

12404103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19841 (or 19832 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12404103120 its reverse (2130140421), we get a palindrome (14534243541).

The spelling of 12404103120 in words is "twelve billion, four hundred four million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 911 1822 2733 3644 4555 5466 7288 8199 9110 10932 13665 14576 16398 18220 18911 21864 27330 32796 36440 37822 40995 43728 54660 56733 65592 72880 75644 81990 94555 109320 113466 131184 151288 163980 170199 189110 218640 226932 283665 302576 327960 340398 378220 453864 567330 655920 680796 756440 850995 907728 1134660 1361592 1512880 1701990 2269320 2723184 3403980 4538640 6807960 13615920 17227921 34455842 51683763 68911684 86139605 103367526 137823368 155051289 172279210 206735052 258418815 275646736 310102578 344558420 413470104 516837630 620205156 689116840 775256445 826940208 1033675260 1240410312 1378233680 1550512890 2067350520 2480820624 3101025780 4134701040 6202051560 12404103120