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12000440520 = 2333525144269
BaseRepresentation
bin10110010110100100…
…00011000011001000
31010222022221112122000
423023102003003020
5144034103044040
65302443031000
7603245030025
oct131322030310
933868845560
1012000440520
1150a8a32642
1223aab0b460
13119328a1a3
1481bad454c
154a380b130
hex2cb4830c8

12000440520 has 128 divisors (see below), whose sum is σ = 40161744000. Its totient is φ = 3187296000.

The previous prime is 12000440503. The next prime is 12000440537. The reversal of 12000440520 is 2504400021.

12000440520 is a `hidden beast` number, since 1 + 200 + 0 + 440 + 5 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (12000440503) and next prime (12000440537).

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 = 12000440493 and 12000440502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248946 + ... + 293214.

It is an arithmetic number, because the mean of its divisors is an integer number (313763625).

Almost surely, 212000440520 is an apocalyptic number.

12000440520 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 12000440520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20080872000).

12000440520 is an abundant number, since it is smaller than the sum of its proper divisors (28161303480).

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

12000440520 is a wasteful number, since it uses less digits than its factorization.

12000440520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44540 (or 44530 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 12000440520 its reverse (2504400021), we get a palindrome (14504840541).

The spelling of 12000440520 in words is "twelve billion, four hundred forty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 251 270 360 502 540 753 1004 1080 1255 1506 2008 2259 2510 3012 3765 4518 5020 6024 6777 7530 9036 10040 11295 13554 15060 18072 22590 27108 30120 33885 44269 45180 54216 67770 88538 90360 132807 135540 177076 221345 265614 271080 354152 398421 442690 531228 664035 796842 885380 1062456 1195263 1328070 1593684 1770760 1992105 2390526 2656140 3187368 3984210 4781052 5312280 5976315 7968420 9562104 11111519 11952630 15936840 22223038 23905260 33334557 44446076 47810520 55557595 66669114 88892152 100003671 111115190 133338228 166672785 200007342 222230380 266676456 300011013 333345570 400014684 444460760 500018355 600022026 666691140 800029368 1000036710 1200044052 1333382280 1500055065 2000073420 2400088104 3000110130 4000146840 6000220260 12000440520