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12421887504 = 2431311321559
BaseRepresentation
bin10111001000110011…
…01111011000010000
31012001200222021012120
423210121233120100
5200420000400004
65412340054240
7616553205315
oct134431573020
935050867176
1012421887504
1152a4916a34
1224a8094380
13122c69a6c0
1485ba7cd0c
154ca8093d9
hex2e466f610

12421887504 has 120 divisors (see below), whose sum is σ = 34889225280. Its totient is φ = 3785865216.

The previous prime is 12421887503. The next prime is 12421887523. The reversal of 12421887504 is 40578812421.

It is not an unprimeable number, because it can be changed into a prime (12421887503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7967077 + ... + 7968635.

It is an arithmetic number, because the mean of its divisors is an integer number (290743544).

Almost surely, 212421887504 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 12421887504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17444612640).

12421887504 is an abundant number, since it is smaller than the sum of its proper divisors (22467337776).

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

12421887504 is a wasteful number, since it uses less digits than its factorization.

12421887504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1809 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The spelling of 12421887504 in words is "twelve billion, four hundred twenty-one million, eight hundred eighty-seven thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 113 156 208 226 312 339 452 624 678 904 1356 1469 1559 1808 2712 2938 3118 4407 4677 5424 5876 6236 8814 9354 11752 12472 12769 17628 18708 20267 23504 24944 25538 35256 37416 38307 40534 51076 60801 70512 74832 76614 81068 102152 121602 153228 162136 165997 176167 204304 243204 306456 324272 331994 352334 486408 497991 528501 612912 663988 704668 972816 995982 1057002 1327976 1409336 1991964 2114004 2290171 2655952 2818672 3983928 4228008 4580342 6870513 7967856 8456016 9160684 13741026 18321368 19906871 27482052 36642736 39813742 54964104 59720613 79627484 109928208 119441226 159254968 238882452 258789323 318509936 477764904 517578646 776367969 955529808 1035157292 1552735938 2070314584 3105471876 4140629168 6210943752 12421887504