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12332030220 = 2233544351551
BaseRepresentation
bin10110111110000101…
…11101100100001100
31011211102220001012000
423133002331210030
5200223444431340
65355410112300
7614412345606
oct133702754414
934742801160
1012332030220
115259122914
122481b7b690
131216b98703
1484db6c176
154c29a9d30
hex2df0bd90c

12332030220 has 96 divisors (see below), whose sum is σ = 38453667840. Its totient is φ = 3281054400.

The previous prime is 12332030219. The next prime is 12332030261. The reversal of 12332030220 is 2203023321.

It is a happy number.

12332030220 is a `hidden beast` number, since 1 + 23 + 320 + 302 + 20 = 666.

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 = 12332030193 and 12332030202.

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, 213445 + ... + 264995.

It is an arithmetic number, because the mean of its divisors is an integer number (400559040).

Almost surely, 212332030220 is an apocalyptic number.

12332030220 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 12332030220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19226833920).

12332030220 is an abundant number, since it is smaller than the sum of its proper divisors (26121637620).

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

12332030220 is a wasteful number, since it uses less digits than its factorization.

12332030220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52012 (or 52004 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 12332030220 its reverse (2203023321), we get a palindrome (14535053541).

The spelling of 12332030220 in words is "twelve billion, three hundred thirty-two million, thirty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 443 540 886 1329 1772 2215 2658 3987 4430 5316 6645 7974 8860 11961 13290 15948 19935 23922 26580 39870 47844 51551 59805 79740 103102 119610 154653 206204 239220 257755 309306 463959 515510 618612 773265 927918 1031020 1391877 1546530 1855836 2319795 2783754 3093060 4639590 5567508 6959385 9279180 13918770 22837093 27837540 45674186 68511279 91348372 114185465 137022558 205533837 228370930 274045116 342556395 411067674 456741860 616601511 685112790 822135348 1027669185 1233203022 1370225580 2055338370 2466406044 3083007555 4110676740 6166015110 12332030220