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12231040442012 = 22723313491123581
BaseRepresentation
bin1011000111111100001011…
…0100100001111010011100
31121022021110020102121210022
42301333002310201322130
53100343132323121022
642002510140331312
72401443404245010
oct261770264417234
947267406377708
1012231040442012
113996178515567
12145655a843b38
136a94c7800ac2
14303db2382540
151632564dcc42
hexb1fc2d21e9c

12231040442012 has 96 divisors (see below), whose sum is σ = 25659562005504. Its totient is φ = 4987728345600.

The previous prime is 12231040442003. The next prime is 12231040442021. The reversal of 12231040442012 is 21024404013221.

It is an interprime number because it is at equal distance from previous prime (12231040442003) and next prime (12231040442021).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98910062 + ... + 99033642.

It is an arithmetic number, because the mean of its divisors is an integer number (267287104224).

Almost surely, 212231040442012 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 12231040442012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12829781002752).

12231040442012 is an abundant number, since it is smaller than the sum of its proper divisors (13428521563492).

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

12231040442012 is a wasteful number, since it uses less digits than its factorization.

12231040442012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124419 (or 124417 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 12231040442012 its reverse (21024404013221), we get a palindrome (33255444455233).

The spelling of 12231040442012 in words is "twelve trillion, two hundred thirty-one billion, forty million, four hundred forty-two thousand, twelve".

Divisors: 1 2 4 7 14 23 28 46 92 161 313 322 491 626 644 982 1252 1964 2191 3437 4382 6874 7199 8764 11293 13748 14398 22586 28796 45172 50393 79051 100786 123581 153683 158102 201572 247162 307366 316204 494324 614732 865067 1075781 1730134 2151562 2842363 3460268 3534709 4303124 5684726 7069418 11369452 14138836 19896541 24742963 38680853 39793082 49485926 60678271 77361706 79586164 98971852 121356542 154723412 242713084 270765971 424747897 541531942 849495794 889659619 1083063884 1395600233 1698991588 1779319238 2791200466 3558638476 5582400932 6227617333 9769201631 12455234666 18992298823 19538403262 24910469332 37984597646 39076806524 75969195292 132946091761 265892183522 436822872929 531784367044 873645745858 1747291491716 3057760110503 6115520221006 12231040442012