Search a number
-
+
121233101032224 = 25325319939911659
BaseRepresentation
bin11011100100001011000111…
…111011000000101100100000
3120220020202211020220210210100
4123210023013323000230200
5111342240342331012344
61105501415011302400
734351542155053266
oct3344130773005440
9526222736823710
10121233101032224
11356a073aaa0785
121171b9542aaa00
1352853036a657c
1421d19db7c8436
15e03840319569
hex6e42c7ec0b20

121233101032224 has 144 divisors (see below), whose sum is σ = 353026615032000. Its totient is φ = 39449321353728.

The previous prime is 121233101032193. The next prime is 121233101032271. The reversal of 121233101032224 is 422230101332121.

121233101032224 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 3 + 310 + 1 + 0 + 322 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 16918294 + ... + 22993365.

It is an arithmetic number, because the mean of its divisors is an integer number (2451573715500).

Almost surely, 2121233101032224 is an apocalyptic number.

It is an amenable number.

121233101032224 is an abundant number, since it is smaller than the sum of its proper divisors (231793513999776).

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

121233101032224 is a wasteful number, since it uses less digits than its factorization.

121233101032224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39911927 (or 39911916 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 121233101032224 its reverse (422230101332121), we get a palindrome (543463202364345).

The spelling of 121233101032224 in words is "one hundred twenty-one trillion, two hundred thirty-three billion, one hundred one million, thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 199 212 288 318 398 424 477 597 636 796 848 954 1194 1272 1592 1696 1791 1908 2388 2544 3184 3582 3816 4776 5088 6368 7164 7632 9552 10547 14328 15264 19104 21094 28656 31641 42188 57312 63282 84376 94923 126564 168752 189846 253128 337504 379692 506256 759384 1012512 1518768 3037536 39911659 79823318 119734977 159646636 239469954 319293272 359204931 478939908 638586544 718409862 957879816 1277173088 1436819724 1915759632 2115317927 2873639448 3831519264 4230635854 5747278896 6345953781 7942420141 8461271708 11494557792 12691907562 15884840282 16922543416 19037861343 23827260423 25383815124 31769680564 33845086832 38075722686 47654520846 50767630248 63539361128 67690173664 71481781269 76151445372 95309041692 101535260496 127078722256 142963562538 152302890744 190618083384 203070520992 254157444512 285927125076 304605781488 381236166768 420948267473 571854250152 609211562976 762472333536 841896534946 1143708500304 1262844802419 1683793069892 2287417000608 2525689604838 3367586139784 3788534407257 5051379209676 6735172279568 7577068814514 10102758419352 13470344559136 15154137629028 20205516838704 30308275258056 40411033677408 60616550516112 121233101032224