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12204400340 = 225111913992087
BaseRepresentation
bin10110101110111000…
…00101111011010100
31011111112201202220102
423113130011323110
5144443311302330
65335010353232
7611302456046
oct132734057324
934445652812
1012204400340
1151a307a680
12244728b818
1311c65cc982
1483ac27a96
154b6698945
hex2d7705ed4

12204400340 has 96 divisors (see below), whose sum is σ = 29465856000. Its totient is φ = 4199368320.

The previous prime is 12204400303. The next prime is 12204400349. The reversal of 12204400340 is 4300440221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12204400349) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5846777 + ... + 5848863.

It is an arithmetic number, because the mean of its divisors is an integer number (306936000).

Almost surely, 212204400340 is an apocalyptic number.

12204400340 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 12204400340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14732928000).

12204400340 is an abundant number, since it is smaller than the sum of its proper divisors (17261455660).

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

12204400340 is a wasteful number, since it uses less digits than its factorization.

12204400340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3525 (or 3523 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 12204400340 its reverse (4300440221), we get a palindrome (16504840561).

The spelling of 12204400340 in words is "twelve billion, two hundred four million, four hundred thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 836 1045 1399 2087 2090 2798 4174 4180 5596 6995 8348 10435 13990 15389 20870 22957 26581 27980 30778 39653 41740 45914 53162 61556 76945 79306 91828 106324 114785 132905 153890 158612 198265 229570 265810 292391 307780 396530 436183 459140 531620 584782 793060 872366 1169564 1461955 1744732 2180915 2919713 2923910 4361830 5839426 5847820 8723660 11678852 14598565 29197130 32116843 55474547 58394260 64233686 110949094 128467372 160584215 221898188 277372735 321168430 554745470 610220017 642336860 1109490940 1220440034 2440880068 3051100085 6102200170 12204400340