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12444121140 = 22351118854729
BaseRepresentation
bin10111001011011101…
…00011100000110100
31012010020210212000120
423211232203200310
5200441143334030
65414452411540
7620243166363
oct134556434064
935106725016
1012444121140
115306422440
1224b3616bb0
1312341836b9
148609c97da
154cc74c010
hex2e5ba3834

12444121140 has 48 divisors (see below), whose sum is σ = 38011135680. Its totient is φ = 3016756480.

The previous prime is 12444121139. The next prime is 12444121169. The reversal of 12444121140 is 4112144421.

12444121140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12444121140.

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 15 ways as a sum of consecutive naturals, for example, 9426705 + ... + 9428024.

It is an arithmetic number, because the mean of its divisors is an integer number (791898660).

Almost surely, 212444121140 is an apocalyptic number.

12444121140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12444121140 is an abundant number, since it is smaller than the sum of its proper divisors (25567014540).

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

12444121140 is a wasteful number, since it uses less digits than its factorization.

12444121140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18854752 (or 18854750 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 12444121140 its reverse (4112144421), we get a palindrome (16556265561).

The spelling of 12444121140 in words is "twelve billion, four hundred forty-four million, one hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 18854729 37709458 56564187 75418916 94273645 113128374 188547290 207402019 226256748 282820935 377094580 414804038 565641870 622206057 829608076 1037010095 1131283740 1244412114 2074020190 2488824228 3111030285 4148040380 6222060570 12444121140