Search a number
-
+
12220033333120 = 275211509917747
BaseRepresentation
bin1011000111010011001010…
…1111101111011110000000
31121021020001010121112222121
42301310302233233132000
53100203112013124440
641553450020014024
72400603550333354
oct261646257573600
947236033545877
1012220033333120
11399153a271758
1214543a8531314
136a8462287812
1430364a581464
15162d0eee734a
hexb1d32bef780

12220033333120 has 128 divisors (see below), whose sum is σ = 29359380528000. Its totient is φ = 4863619246080.

The previous prime is 12220033333099. The next prime is 12220033333129. The reversal of 12220033333120 is 2133333002221.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220033333129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 688560087 + ... + 688577833.

It is an arithmetic number, because the mean of its divisors is an integer number (229370160375).

Almost surely, 212220033333120 is an apocalyptic number.

12220033333120 is a gapful number since it is divisible by the number (10) 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 12220033333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14679690264000).

12220033333120 is an abundant number, since it is smaller than the sum of its proper divisors (17139347194880).

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

12220033333120 is a wasteful number, since it uses less digits than its factorization.

12220033333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23076 (or 23064 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 12220033333120 its reverse (2133333002221), we get a palindrome (14353366335341).

The spelling of 12220033333120 in words is "twelve trillion, two hundred twenty billion, thirty-three million, three hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 211 320 422 640 844 1055 1688 2110 3376 4220 5099 6752 8440 10198 13504 16880 17747 20396 25495 27008 33760 35494 40792 50990 67520 70988 81584 88735 101980 135040 141976 163168 177470 203960 283952 326336 354940 407920 567904 652672 709880 815840 1075889 1135808 1419760 1631680 2151778 2271616 2839520 3263360 3744617 4303556 5379445 5679040 7489234 8607112 10758890 11358080 14978468 17214224 18723085 21517780 29956936 34428448 37446170 43035560 59913872 68856896 74892340 86071120 90491953 119827744 137713792 149784680 172142240 180983906 239655488 299569360 344284480 361967812 452459765 479310976 599138720 688568960 723935624 904919530 1198277440 1447871248 1809839060 2396554880 2895742496 3619678120 5791484992 7239356240 11582969984 14478712480 19093802083 28957424960 38187604166 57914849920 76375208332 95469010415 152750416664 190938020830 305500833328 381876041660 611001666656 763752083320 1222003333312 1527504166640 2444006666624 3055008333280 6110016666560 12220033333120