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12224113140 = 22352313963727
BaseRepresentation
bin10110110001001110…
…10010100111110100
31011112220211021210010
423120213102213310
5200013333110030
65340553100220
7611632150551
oct133047224764
934486737703
1012224113140
115203214148
1224519b7670
1311ca712455
1483d6b9a28
154b828e6b0
hex2d89d29f4

12224113140 has 96 divisors (see below), whose sum is σ = 35973181440. Its totient is φ = 3095554176.

The previous prime is 12224113133. The next prime is 12224113157. The reversal of 12224113140 is 4131142221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159957 + ... + 223683.

It is an arithmetic number, because the mean of its divisors is an integer number (374720640).

Almost surely, 212224113140 is an apocalyptic number.

12224113140 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 12224113140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17986590720).

12224113140 is an abundant number, since it is smaller than the sum of its proper divisors (23749068300).

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

12224113140 is a wasteful number, since it uses less digits than its factorization.

12224113140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63901 (or 63899 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 12224113140 its reverse (4131142221), we get a palindrome (16355255361).

The spelling of 12224113140 in words is "twelve billion, two hundred twenty-four million, one hundred thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 139 230 276 278 345 417 460 556 690 695 834 1380 1390 1668 2085 2780 3197 4170 6394 8340 9591 12788 15985 19182 31970 38364 47955 63727 63940 95910 127454 191181 191820 254908 318635 382362 637270 764724 955905 1274540 1465721 1911810 2931442 3823620 4397163 5862884 7328605 8794326 8858053 14657210 17588652 17716106 21985815 26574159 29314420 35432212 43971630 44290265 53148318 87943260 88580530 106296636 132870795 177161060 203735219 265741590 407470438 531483180 611205657 814940876 1018676095 1222411314 2037352190 2444822628 3056028285 4074704380 6112056570 12224113140