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12421288 = 23111719223
BaseRepresentation
bin101111011000…
…100010101000
3212101001210201
4233120202220
511134440123
61122121544
7210402445
oct57304250
925331721
1012421288
117014330
1241b02b4
13275b999
1419149cc
1511555ad
hexbd88a8

12421288 has 96 divisors (see below), whose sum is σ = 29626560. Its totient is φ = 4815360.

The previous prime is 12421267. The next prime is 12421291. The reversal of 12421288 is 88212421.

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 540045 + ... + 540067.

It is an arithmetic number, because the mean of its divisors is an integer number (308610).

Almost surely, 212421288 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 12421288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14813280).

12421288 is an abundant number, since it is smaller than the sum of its proper divisors (17205272).

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

12421288 is a wasteful number, since it uses less digits than its factorization.

12421288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 72 counting only the distinct ones).

The product of its digits is 2048, while the sum is 28.

The square root of 12421288 is about 3524.3847690058. The cubic root of 12421288 is about 231.5912839520.

It can be divided in two parts, 124 and 21288, that added together give a palindrome (21412).

The spelling of 12421288 in words is "twelve million, four hundred twenty-one thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 11 17 19 22 23 34 38 44 46 68 76 88 92 136 152 184 187 209 253 323 361 374 391 418 437 506 646 722 748 782 836 874 1012 1292 1444 1496 1564 1672 1748 2024 2584 2888 3128 3496 3553 3971 4301 4807 6137 7106 7429 7942 8303 8602 9614 12274 14212 14858 15884 16606 17204 19228 24548 28424 29716 31768 33212 34408 38456 49096 59432 66424 67507 81719 91333 135014 141151 163438 182666 270028 282302 326876 365332 540056 564604 653752 730664 1129208 1552661 3105322 6210644 12421288