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12303101120 = 26523272679
BaseRepresentation
bin10110111010101001…
…00110110011000000
31011202102110021220212
423131110212303000
5200144043213440
65352454053252
7613611430322
oct133524466300
934672407825
1012303101120
115243863a72
12247434a228
131210ba9cbb
14849d9b612
154c0193465
hex2dd526cc0

12303101120 has 84 divisors (see below), whose sum is σ = 30626334480. Its totient is φ = 4707208704.

The previous prime is 12303101119. The next prime is 12303101191. The reversal of 12303101120 is 2110130321.

It is a junction number, because it is equal to n+sod(n) for n = 12303101095 and 12303101104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 132941 + ... + 205619.

It is an arithmetic number, because the mean of its divisors is an integer number (364599220).

Almost surely, 212303101120 is an apocalyptic number.

12303101120 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 12303101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15313167240).

12303101120 is an abundant number, since it is smaller than the sum of its proper divisors (18323233360).

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

12303101120 is an equidigital number, since it uses as much as digits as its factorization.

12303101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72742 (or 72709 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 12303101120 its reverse (2110130321), we get a palindrome (14413231441).

The spelling of 12303101120 in words is "twelve billion, three hundred three million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 160 184 230 320 368 460 529 736 920 1058 1472 1840 2116 2645 3680 4232 5290 7360 8464 10580 16928 21160 33856 42320 72679 84640 145358 169280 290716 363395 581432 726790 1162864 1453580 1671617 2325728 2907160 3343234 4651456 5814320 6686468 8358085 11628640 13372936 16716170 23257280 26745872 33432340 38447191 53491744 66864680 76894382 106983488 133729360 153788764 192235955 267458720 307577528 384471910 534917440 615155056 768943820 1230310112 1537887640 2460620224 3075775280 6151550560 12303101120