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12310011120 = 24351119124413
BaseRepresentation
bin10110111011011101…
…11101110011110000
31011202220110100122210
423131232331303300
5200202330323440
65353302132120
7614024240151
oct133556756360
934686410583
1012310011120
115247753610
122476721040
131212459264
1484ac79928
154c0aaaa80
hex2ddbbdcf0

12310011120 has 160 divisors (see below), whose sum is σ = 41849892864. Its totient is φ = 2968499200.

The previous prime is 12310011073. The next prime is 12310011127. The reversal of 12310011120 is 2111001321.

It is a super-3 number, since 3×123100111203 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12310011096 and 12310011105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12310011127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 492034 + ... + 516446.

Almost surely, 212310011120 is an apocalyptic number.

12310011120 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 12310011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20924946432).

12310011120 is an abundant number, since it is smaller than the sum of its proper divisors (29539881744).

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

12310011120 is a wasteful number, since it uses less digits than its factorization.

12310011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24631 (or 24625 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 12310011120 its reverse (2111001321), we get a palindrome (14421012441).

The spelling of 12310011120 in words is "twelve billion, three hundred ten million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 191 220 240 264 330 382 440 528 573 660 764 880 955 1146 1320 1528 1910 2101 2292 2640 2865 3056 3820 4202 4584 5730 6303 7640 8404 9168 10505 11460 12606 15280 16808 21010 22920 24413 25212 31515 33616 42020 45840 48826 50424 63030 73239 84040 97652 100848 122065 126060 146478 168080 195304 244130 252120 268543 292956 366195 390608 488260 504240 537086 585912 732390 805629 976520 1074172 1171824 1342715 1464780 1611258 1953040 2148344 2685430 2929560 3222516 4028145 4296688 4662883 5370860 5859120 6445032 8056290 9325766 10741720 12890064 13988649 16112580 18651532 21483440 23314415 27977298 32225160 37303064 46628830 51291713 55954596 64450320 69943245 74606128 93257660 102583426 111909192 139886490 153875139 186515320 205166852 223818384 256458565 279772980 307750278 373030640 410333704 512917130 559545960 615500556 769375695 820667408 1025834260 1119091920 1231001112 1538751390 2051668520 2462002224 3077502780 4103337040 6155005560 12310011120