Search a number
-
+
12241221001240 = 2357211567774629
BaseRepresentation
bin1011001000100010000110…
…1000010010000000011000
31121100020201201221121121111
42302020201220102000120
53101030010034014430
642011312253150104
72402253603464500
oct262104150220030
947306651847544
1012241221001240
11399a522144380
12145852018b334
136aa45aa2984a
1430469a4a6a00
15163650164c2a
hexb2221a12018

12241221001240 has 96 divisors (see below), whose sum is σ = 34952206222800. Its totient is φ = 3815445500160.

The previous prime is 12241221001171. The next prime is 12241221001249. The reversal of 12241221001240 is 4210012214221.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12241221001249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 283865755 + ... + 283908874.

Almost surely, 212241221001240 is an apocalyptic number.

12241221001240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12241221001240 is an abundant number, since it is smaller than the sum of its proper divisors (22710985221560).

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

12241221001240 is a wasteful number, since it uses less digits than its factorization.

12241221001240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567774665 (or 567774654 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 12241221001240 its reverse (4210012214221), we get a palindrome (16451233215461).

The spelling of 12241221001240 in words is "twelve trillion, two hundred forty-one billion, two hundred twenty-one million, one thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 49 55 56 70 77 88 98 110 140 154 196 220 245 280 308 385 392 440 490 539 616 770 980 1078 1540 1960 2156 2695 3080 4312 5390 10780 21560 567774629 1135549258 2271098516 2838873145 3974422403 4542197032 5677746290 6245520919 7948844806 11355492580 12491041838 15897689612 19872112015 22710985160 24982083676 27820956821 31227604595 31795379224 39744224030 43718646433 49964167352 55641913642 62455209190 79488448060 87437292866 111283827284 124910418380 139104784105 158976896120 174874585732 218593232165 222567654568 249820836760 278209568210 306030525031 349749171464 437186464330 556419136420 612061050062 874372928660 1112838272840 1224122100124 1530152625155 1748745857320 2448244200248 3060305250310 6120610500620 12241221001240