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12113223120 = 2432534614861
BaseRepresentation
bin10110100100000000…
…10001110111010000
31011021012011111021100
423102000101313100
5144301441114440
65321552224400
7606114461205
oct132200216720
934235144240
1012113223120
1151566648a9
12242083b100
1311b0757c5b
1482ca91cac
154ad688230
hex2d2011dd0

12113223120 has 120 divisors (see below), whose sum is σ = 40700365992. Its totient is φ = 3228595200.

The previous prime is 12113223113. The next prime is 12113223173. The reversal of 12113223120 is 2132231121.

It can be written as a sum of positive squares in 4 ways, for example, as 1908990864 + 10204232256 = 43692^2 + 101016^2 .

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 = 12113223093 and 12113223102.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2489490 + ... + 2494350.

Almost surely, 212113223120 is an apocalyptic number.

12113223120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12113223120 is an abundant number, since it is smaller than the sum of its proper divisors (28587142872).

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

12113223120 is a wasteful number, since it uses less digits than its factorization.

12113223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8341 (or 8332 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12113223120 its reverse (2132231121), we get a palindrome (14245454241).

The spelling of 12113223120 in words is "twelve billion, one hundred thirteen million, two hundred twenty-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 3461 4861 6922 9722 10383 13844 14583 17305 19444 20766 24305 27688 29166 31149 34610 38888 41532 43749 48610 51915 55376 58332 62298 69220 72915 77776 83064 87498 97220 103830 116664 124596 138440 145830 155745 166128 174996 194440 207660 218745 233328 249192 276880 291660 311490 349992 388880 415320 437490 498384 583320 622980 699984 830640 874980 1166640 1245960 1749960 2491920 3499920 16823921 33647842 50471763 67295684 84119605 100943526 134591368 151415289 168239210 201887052 252358815 269182736 302830578 336478420 403774104 504717630 605661156 672956840 757076445 807548208 1009435260 1211322312 1345913680 1514152890 2018870520 2422644624 3028305780 4037741040 6056611560 12113223120