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12321002232 = 2333711740801
BaseRepresentation
bin10110111100110001…
…11001001011111000
31011210200010202122000
423132120321023320
5200213134032412
65354333501000
7614216535210
oct133630711370
934720122560
1012321002232
115252980380
12247a341760
131214806c86
1484c4db240
154c1a2c4dc
hex2de6392f8

12321002232 has 128 divisors (see below), whose sum is σ = 42670195200. Its totient is φ = 3200256000.

The previous prime is 12321002189. The next prime is 12321002237. The reversal of 12321002232 is 23220012321.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12321002237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 353769 + ... + 387032.

It is an arithmetic number, because the mean of its divisors is an integer number (333360900).

Almost surely, 212321002232 is an apocalyptic number.

12321002232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12321002232 is an abundant number, since it is smaller than the sum of its proper divisors (30349192968).

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

12321002232 is a wasteful number, since it uses less digits than its factorization.

12321002232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740834 (or 740824 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12321002232 its reverse (23220012321), we get a palindrome (35541014553).

The spelling of 12321002232 in words is "twelve billion, three hundred twenty-one million, two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 72 77 84 88 99 108 126 132 154 168 189 198 216 231 252 264 297 308 378 396 462 504 594 616 693 756 792 924 1188 1386 1512 1848 2079 2376 2772 4158 5544 8316 16632 740801 1481602 2222403 2963204 4444806 5185607 5926408 6667209 8148811 8889612 10371214 13334418 15556821 16297622 17779224 20001627 20742428 24446433 26668836 31113642 32595244 40003254 41484856 46670463 48892866 53337672 57041677 62227284 65190488 73339299 80006508 93340926 97785732 114083354 124454568 140011389 146678598 160013016 171125031 186681852 195571464 220017897 228166708 280022778 293357196 342250062 373363704 440035794 456333416 513375093 560045556 586714392 684500124 880071588 1026750186 1120091112 1369000248 1540125279 1760143176 2053500372 3080250558 4107000744 6160501116 12321002232