Search a number
-
+
12130333312 = 271974631039
BaseRepresentation
bin10110100110000011…
…00011001010000000
31011022101100210001011
423103001203022000
5144320331131222
65323403050304
7606413063146
oct132301431200
934271323034
1012130333312
115165290a59
122426510994
1311b4168c26
14831067596
154aee17c77
hex2d3063280

12130333312 has 64 divisors (see below), whose sum is σ = 24364454400. Its totient is φ = 6015550464.

The previous prime is 12130333301. The next prime is 12130333333. The reversal of 12130333312 is 21333303121.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11674489 + ... + 11675527.

It is an arithmetic number, because the mean of its divisors is an integer number (380694600).

Almost surely, 212130333312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12130333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12182227200).

12130333312 is an abundant number, since it is smaller than the sum of its proper divisors (12234121088).

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

12130333312 is a wasteful number, since it uses less digits than its factorization.

12130333312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1713 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 12130333312 its reverse (21333303121), we get a palindrome (33463636433).

The spelling of 12130333312 in words is "twelve billion, one hundred thirty million, three hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 197 394 463 788 926 1039 1576 1852 2078 3152 3704 4156 6304 7408 8312 12608 14816 16624 25216 29632 33248 59264 66496 91211 132992 182422 204683 364844 409366 481057 729688 818732 962114 1459376 1637464 1924228 2918752 3274928 3848456 5837504 6549856 7696912 11675008 13099712 15393824 26199424 30787648 61575296 94768229 189536458 379072916 758145832 1516291664 3032583328 6065166656 12130333312