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12204240320 = 265831632819
BaseRepresentation
bin10110101110110110…
…11110110111000000
31011111112102122101202
423113123132313000
5144443241142240
65335003120332
7611301221366
oct132733366700
934445378352
1012204240320
1151a2a80428
1224472130a8
1311c6574b9c
1483abc5636
154b6666315
hex2d76dedc0

12204240320 has 112 divisors (see below), whose sum is σ = 29602419840. Its totient is φ = 4791591936.

The previous prime is 12204240253. The next prime is 12204240337. The reversal of 12204240320 is 2304240221.

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

It is a junction number, because it is equal to n+sod(n) for n = 12204240292 and 12204240301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4327871 + ... + 4330689.

It is an arithmetic number, because the mean of its divisors is an integer number (264307320).

Almost surely, 212204240320 is an apocalyptic number.

12204240320 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 12204240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14801209920).

12204240320 is an abundant number, since it is smaller than the sum of its proper divisors (17398179520).

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

12204240320 is a wasteful number, since it uses less digits than its factorization.

12204240320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3082 (or 3072 counting only the distinct ones).

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

12204240320 divided by its sum of digits (20) gives a palindrome (610212016).

Adding to 12204240320 its reverse (2304240221), we get a palindrome (14508480541).

Subtracting from 12204240320 its reverse (2304240221), we obtain a palindrome (9900000099).

The spelling of 12204240320 in words is "twelve billion, two hundred four million, two hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 83 160 163 166 320 326 332 415 652 664 815 830 1304 1328 1630 1660 2608 2656 2819 3260 3320 5216 5312 5638 6520 6640 10432 11276 13040 13280 13529 14095 22552 26080 26560 27058 28190 45104 52160 54116 56380 67645 90208 108232 112760 135290 180416 216464 225520 233977 270580 432928 451040 459497 467954 541160 865856 902080 918994 935908 1082320 1169885 1837988 1871816 2164640 2297485 2339770 3675976 3743632 4329280 4594970 4679540 7351952 7487264 9189940 9359080 14703904 14974528 18379880 18718160 29407808 36759760 37436320 38138251 73519520 74872640 76276502 147039040 152553004 190691255 305106008 381382510 610212016 762765020 1220424032 1525530040 2440848064 3051060080 6102120160 12204240320