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12223102023312 = 2434773101734849
BaseRepresentation
bin1011000111011110100110…
…1001110111011010010000
31121021111221222220011112220
42301313221221313122100
53100230403104221222
641555114320421040
72401042601636115
oct261675151673220
947244858804486
1012223102023312
113992874489054
121454b04177780
136a8830c6c62b
1430385bd4890c
15162e3e608b5c
hexb1de9a77690

12223102023312 has 160 divisors (see below), whose sum is σ = 33013647705600. Its totient is φ = 3894106521600.

The previous prime is 12223102023311. The next prime is 12223102023323. The reversal of 12223102023312 is 21332020132221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (12223102023311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16266064 + ... + 17000912.

It is an arithmetic number, because the mean of its divisors is an integer number (206335298160).

Almost surely, 212223102023312 is an apocalyptic number.

12223102023312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12223102023312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16506823852800).

12223102023312 is an abundant number, since it is smaller than the sum of its proper divisors (20790545682288).

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

12223102023312 is a wasteful number, since it uses less digits than its factorization.

12223102023312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735081 (or 735075 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12223102023312 its reverse (21332020132221), we get a palindrome (33555122155533).

The spelling of 12223102023312 in words is "twelve trillion, two hundred twenty-three billion, one hundred two million, twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 73 94 101 141 146 188 202 219 282 292 303 376 404 438 564 584 606 752 808 876 1128 1168 1212 1616 1752 2256 2424 3431 3504 4747 4848 6862 7373 9494 10293 13724 14241 14746 18988 20586 22119 27448 28482 29492 37976 41172 44238 54896 56964 58984 75952 82344 88476 113928 117968 164688 176952 227856 346531 353904 693062 734849 1039593 1386124 1469698 2079186 2204547 2772248 2939396 4158372 4409094 5544496 5878792 8316744 8818188 11757584 16633488 17636376 34537903 35272752 53643977 69075806 74219749 103613709 107287954 138151612 148439498 160931931 207227418 214575908 222659247 276303224 296878996 321863862 414454836 429151816 445318494 552606448 593757992 643727724 828909672 858303632 890636988 1187515984 1287455448 1657819344 1781273976 2521266919 2574910896 3488328203 3562547952 5042533838 5418041677 6976656406 7563800757 10085067676 10464984609 10836083354 13953312812 15127601514 16254125031 20170135352 20929969218 21672166708 27906625624 30255203028 32508250062 40340270704 41859938436 43344333416 55813251248 60510406056 65016500124 83719876872 86688666832 121020812112 130033000248 167439753744 254647958819 260066000496 509295917638 763943876457 1018591835276 1527887752914 2037183670552 3055775505828 4074367341104 6111551011656 12223102023312