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12241244264260 = 225111012112610953
BaseRepresentation
bin1011001000100010001100…
…0001000001011101000100
31121100020210100201111110211
42302020203001001131010
53101030032012424020
642011314443525204
72402254305303634
oct262104301013504
947306710644424
1012241244264260
11399a534293210
121458527b29804
136aa4627b324b
1430469d6006c4
1516365220c85a
hexb2223041744

12241244264260 has 96 divisors (see below), whose sum is σ = 28455471725184. Its totient is φ = 4386399360000.

The previous prime is 12241244264243. The next prime is 12241244264261. The reversal of 12241244264260 is 6246244214221.

It is a super-2 number, since 2×122412442642602 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12241244264261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3382944 + ... + 5993896.

It is an arithmetic number, because the mean of its divisors is an integer number (296411163804).

Almost surely, 212241244264260 is an apocalyptic number.

12241244264260 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 12241244264260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14227735862592).

12241244264260 is an abundant number, since it is smaller than the sum of its proper divisors (16214227460924).

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

12241244264260 is a wasteful number, since it uses less digits than its factorization.

12241244264260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2611285 (or 2611283 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 40.

Adding to 12241244264260 its reverse (6246244214221), we get a palindrome (18487488478481).

The spelling of 12241244264260 in words is "twelve trillion, two hundred forty-one billion, two hundred forty-four million, two hundred sixty-four thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 211 220 404 422 505 844 1010 1055 1111 2020 2110 2222 2321 4220 4444 4642 5555 9284 11110 11605 21311 22220 23210 42622 46420 85244 106555 213110 234421 426220 468842 937684 1172105 2344210 2610953 4688420 5221906 10443812 13054765 26109530 28720483 52219060 57440966 114881932 143602415 263706253 287204830 527412506 550911083 574409660 1054825012 1101822166 1318531265 2203644332 2637062530 2754555415 2900768783 5274125060 5509110830 5801537566 6060021913 11018221660 11603075132 12120043826 14503843915 24240087652 29007687830 30300109565 55642019383 58015375660 60600219130 111284038766 121200438260 222568077532 278210096915 556420193830 612062213213 1112840387660 1224124426426 2448248852852 3060311066065 6120622132130 12241244264260