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12421011304 = 2313314389597
BaseRepresentation
bin10111001000101100…
…11001011101101000
31012001122022202021201
423210112121131220
5200414234330204
65412305213544
7616542565642
oct134426313550
935048282251
1012421011304
1152a43786a9
1224a79312b4
13122c451940
1485b8d1892
154ca6d49a4
hex2e4599768

12421011304 has 64 divisors (see below), whose sum is σ = 26492336640. Its totient is φ = 5418766080.

The previous prime is 12421011301. The next prime is 12421011391. The reversal of 12421011304 is 40311012421.

12421011304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12421011301) by changing a digit.

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, 93834 + ... + 183430.

It is an arithmetic number, because the mean of its divisors is an integer number (413942760).

Almost surely, 212421011304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12421011304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13246168320).

12421011304 is an abundant number, since it is smaller than the sum of its proper divisors (14071325336).

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

12421011304 is a wasteful number, since it uses less digits than its factorization.

12421011304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89690 (or 89686 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 12421011304 its reverse (40311012421), we get a palindrome (52732023725).

The spelling of 12421011304 in words is "twelve billion, four hundred twenty-one million, eleven thousand, three hundred four".

Divisors: 1 2 4 8 13 26 31 43 52 62 86 104 124 172 248 344 403 559 806 1118 1333 1612 2236 2666 3224 4472 5332 10664 17329 34658 69316 89597 138632 179194 358388 716776 1164761 2329522 2777507 3852671 4659044 5555014 7705342 9318088 11110028 15410684 22220056 30821368 36107591 50084723 72215182 100169446 119432801 144430364 200338892 238865602 288860728 400677784 477731204 955462408 1552626413 3105252826 6210505652 12421011304