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12421332520 = 2357323318257
BaseRepresentation
bin10111001000101111…
…00111111000101000
31012001122221001220121
423210113213320220
5200414330120040
65412320133024
7616545404302
oct134427477050
935048831817
1012421332520
1152a4577a73
1224a7a67174
13122c534bcc
1485b976972
154ca749c4a
hex2e45e7e28

12421332520 has 64 divisors (see below), whose sum is σ = 28453997520. Its totient is φ = 4879171584.

The previous prime is 12421332509. The next prime is 12421332527. The reversal of 12421332520 is 2523312421.

It can be written as a sum of positive squares in 8 ways, for example, as 2737591684 + 9683740836 = 52322^2 + 98406^2 .

It is not an unprimeable number, because it can be changed into a prime (12421332527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 671232 + ... + 689488.

Almost surely, 212421332520 is an apocalyptic number.

12421332520 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 12421332520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14226998760).

12421332520 is an abundant number, since it is smaller than the sum of its proper divisors (16032665000).

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

12421332520 is a wasteful number, since it uses less digits than its factorization.

12421332520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18574 (or 18570 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 12421332520 its reverse (2523312421), we get a palindrome (14944644941).

The spelling of 12421332520 in words is "twelve billion, four hundred twenty-one million, three hundred thirty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 73 146 233 292 365 466 584 730 932 1165 1460 1864 2330 2920 4660 9320 17009 18257 34018 36514 68036 73028 85045 91285 136072 146056 170090 182570 340180 365140 680360 730280 1332761 2665522 4253881 5331044 6663805 8507762 10662088 13327610 17015524 21269405 26655220 34031048 42538810 53310440 85077620 170155240 310533313 621066626 1242133252 1552666565 2484266504 3105333130 6210666260 12421332520