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12241716036 = 223111910347389
BaseRepresentation
bin10110110011010100…
…11100001101000100
31011121010221121102020
423121222130031010
5200032334403121
65342422243140
7612234604134
oct133152341504
934533847366
1012241716036
1152121474a0
1224578864b0
131201266774
14841b7cac4
154b9aba1c6
hex2d9a9c344

12241716036 has 96 divisors (see below), whose sum is σ = 33119923200. Its totient is φ = 3480174720.

The previous prime is 12241715987. The next prime is 12241716059. The reversal of 12241716036 is 63061714221.

It is a super-2 number, since 2×122417160362 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 12241715988 and 12241716006.

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, 234630 + ... + 282018.

It is an arithmetic number, because the mean of its divisors is an integer number (344999200).

Almost surely, 212241716036 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 12241716036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16559961600).

12241716036 is an abundant number, since it is smaller than the sum of its proper divisors (20878207164).

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

12241716036 is a wasteful number, since it uses less digits than its factorization.

12241716036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47529 (or 47527 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 12241716036 in words is "twelve billion, two hundred forty-one million, seven hundred sixteen thousand, thirty-six".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 103 114 132 206 209 228 309 412 418 618 627 836 1133 1236 1254 1957 2266 2508 3399 3914 4532 5871 6798 7828 11742 13596 21527 23484 43054 47389 64581 86108 94778 129162 142167 189556 258324 284334 521279 568668 900391 1042558 1563837 1800782 2085116 2701173 3127674 3601564 4881067 5402346 6255348 9762134 9904301 10804692 14643201 19524268 19808602 29286402 29712903 39617204 53691737 58572804 59425806 92740273 107383474 118851612 161075211 185480546 214766948 278220819 322150422 370961092 556441638 644300844 1020143003 1112883276 2040286006 3060429009 4080572012 6120858018 12241716036