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12441304300420 = 22510314954174923
BaseRepresentation
bin1011010100001011011110…
…0001011111101110000100
31122001101011212222100002201
42311002313201133232010
53112314242400103140
642243242320444244
72422566055455322
oct265026741375604
948041155870081
1012441304300420
113a67366a2a476
12148b25b779684
136c3296392978
1431023b66cd12
15168960a9049a
hexb50b785fb84

12441304300420 has 96 divisors (see below), whose sum is σ = 26606891001600. Its totient is φ = 4886017251840.

The previous prime is 12441304300417. The next prime is 12441304300457. The reversal of 12441304300420 is 2400340314421.

It is a super-2 number, since 2×124413043004202 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166017079 + ... + 166092001.

It is an arithmetic number, because the mean of its divisors is an integer number (277155114600).

Almost surely, 212441304300420 is an apocalyptic number.

12441304300420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12441304300420 is an abundant number, since it is smaller than the sum of its proper divisors (14165586701180).

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

12441304300420 is a wasteful number, since it uses less digits than its factorization.

12441304300420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75725 (or 75723 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 12441304300420 its reverse (2400340314421), we get a palindrome (14841644614841).

The spelling of 12441304300420 in words is "twelve trillion, four hundred forty-one billion, three hundred four million, three hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 103 149 206 298 412 515 541 596 745 1030 1082 1490 2060 2164 2705 2980 5410 10820 15347 30694 55723 61388 74923 76735 80609 111446 149846 153470 161218 222892 278615 299692 306940 322436 374615 403045 557230 749230 806090 1114460 1498460 1612180 7717069 8302727 11163527 15434138 16605454 22327054 30868276 33210908 38585345 40533343 41513635 44654108 55817635 77170690 81066686 83027270 111635270 154341380 162133372 166054540 202666715 223270540 405333430 810666860 1149843281 2299686562 4174934329 4599373124 5749216405 6039468107 8349868658 11498432810 12078936214 16699737316 20874671645 22996865620 24157872428 30197340535 41749343290 60394681070 83498686580 120789362140 622065215021 1244130430042 2488260860084 3110326075105 6220652150210 12441304300420