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12241303130420 = 22571315314393201
BaseRepresentation
bin1011001000100010011010…
…0001100101000100110100
31121100020221110111012122222
42302020212201211010310
53101030142100133140
642011324345341512
72402255621536250
oct262104641450464
947306843435588
1012241303130420
11399a56453a231
121458543797898
136aa471a540b0
143046a7365260
151636574895b5
hexb2226865134

12241303130420 has 96 divisors (see below), whose sum is σ = 31659733222656. Its totient is φ = 3871639296000.

The previous prime is 12241303130417. The next prime is 12241303130431. The reversal of 12241303130420 is 2403130314221.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 12241303130420.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 589820 + ... + 4983020.

It is an arithmetic number, because the mean of its divisors is an integer number (329788887736).

Almost surely, 212241303130420 is an apocalyptic number.

12241303130420 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 12241303130420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15829866611328).

12241303130420 is an abundant number, since it is smaller than the sum of its proper divisors (19418430092236).

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

12241303130420 is a wasteful number, since it uses less digits than its factorization.

12241303130420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4394761 (or 4394759 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 12241303130420 its reverse (2403130314221), we get a palindrome (14644433444641).

The spelling of 12241303130420 in words is "twelve trillion, two hundred forty-one billion, three hundred three million, one hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1531 1820 3062 6124 7655 10717 15310 19903 21434 30620 39806 42868 53585 79612 99515 107170 139321 199030 214340 278642 398060 557284 696605 1393210 2786420 4393201 8786402 17572804 21966005 30752407 43932010 57111613 61504814 87864020 114223226 123009628 153762035 228446452 285558065 307524070 399781291 571116130 615048140 799562582 1142232260 1599125164 1998906455 3997812910 6725990731 7995625820 13451981462 26903962924 33629953655 47081935117 67259907310 87437879503 94163870234 134519814620 174875759006 188327740468 235409675585 349751518012 437189397515 470819351170 612065156521 874378795030 941638702340 1224130313042 1748757590060 2448260626084 3060325782605 6120651565210 12241303130420