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12233502512 = 2471110991099
BaseRepresentation
bin10110110010010110…
…00110111100110000
31011120120111022120122
423121023012330300
5200023234040022
65341530225412
7612105025040
oct133113067460
934516438518
1012233502512
115208547560
122454b85268
1311cc64c0aa
14840a41720
154b8ee6742
hex2d92c6f30

12233502512 has 80 divisors (see below), whose sum is σ = 29822496000. Its totient is φ = 4722520320.

The previous prime is 12233502473. The next prime is 12233502521. The reversal of 12233502512 is 21520533221.

It is a happy number.

12233502512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122335025122 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88739 + ... + 179837.

It is an arithmetic number, because the mean of its divisors is an integer number (372781200).

Almost surely, 212233502512 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 12233502512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14911248000).

12233502512 is an abundant number, since it is smaller than the sum of its proper divisors (17588993488).

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

12233502512 is a wasteful number, since it uses less digits than its factorization.

12233502512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91234 (or 91228 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The spelling of 12233502512 in words is "twelve billion, two hundred thirty-three million, five hundred two thousand, five hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 109 112 154 176 218 308 436 616 763 872 1199 1232 1526 1744 2398 3052 4796 6104 8393 9592 12208 16786 19184 33572 67144 91099 134288 182198 364396 637693 728792 1002089 1275386 1457584 2004178 2550772 4008356 5101544 7014623 8016712 9929791 10203088 14029246 16033424 19859582 28058492 39719164 56116984 69508537 79438328 109227701 112233968 139017074 158876656 218455402 278034148 436910804 556068296 764593907 873821608 1112136592 1529187814 1747643216 3058375628 6116751256 12233502512