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12213332011232 = 2511210348716287
BaseRepresentation
bin1011000110111010001101…
…0100001110100011100000
31121020120202002220010112122
42301232203110032203200
53100100400443324412
641550421031243412
72400245516126642
oct261564324164340
947216662803478
1012213332011232
113989710579400
121453038219568
136a7934b08ab1
143031b2572892
15162a6ba2a572
hexb1ba350e8e0

12213332011232 has 144 divisors (see below), whose sum is σ = 26695947672576. Its totient is φ = 5495613446400.

The previous prime is 12213332011229. The next prime is 12213332011241. The reversal of 12213332011232 is 23211023331221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1942629593 + ... + 1942635879.

It is an arithmetic number, because the mean of its divisors is an integer number (185388525504).

Almost surely, 212213332011232 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 12213332011232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13347973836288).

12213332011232 is an abundant number, since it is smaller than the sum of its proper divisors (14482615661344).

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

12213332011232 is a wasteful number, since it uses less digits than its factorization.

12213332011232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11293 (or 11274 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 12213332011232 its reverse (23211023331221), we get a palindrome (35424355342453).

The spelling of 12213332011232 in words is "twelve trillion, two hundred thirteen billion, three hundred thirty-two million, eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 103 121 176 206 242 352 412 484 824 968 1133 1648 1936 2266 3296 3872 4532 4871 6287 9064 9742 12463 12574 18128 19484 24926 25148 36256 38968 49852 50296 53581 69157 77936 99704 100592 107162 138314 155872 199408 201184 214324 276628 398816 428648 501713 553256 589391 647561 760727 857296 1003426 1106512 1178782 1295122 1521454 1714592 2006852 2213024 2357564 2590244 3042908 4013704 4715128 5180488 5518843 6085816 7123171 8027408 9430256 10360976 11037686 12171632 14246342 16054816 18860512 20721952 22075372 24343264 28492684 30623977 44150744 56985368 60707273 61247954 78354881 88301488 113970736 121414546 122495908 156709762 176602976 227941472 242829092 244991816 313419524 336863747 485658184 489983632 626839048 673727494 971316368 979967264 1253678096 1347454988 1942632736 2507356192 2694909976 3154269631 3705501217 5389819952 6308539262 7411002434 10779639904 12617078524 14822004868 25234157048 29644009736 34696965941 50468314096 59288019472 69393931882 100936628192 118576038944 138787863764 277575727528 381666625351 555151455056 763333250702 1110302910112 1526666501404 3053333002808 6106666005616 12213332011232