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12023244234320 = 2451154712497309
BaseRepresentation
bin1010111011110110000100…
…1100111001111001010000
31120120102002120012112212212
42232331201030321321100
53033442101010444240
641323222510411252
72350436125521344
oct256754114717120
946512076175785
1012023244234320
113916035a1a110
121422228200b28
13692a30252ca7
142d7cdcac5624
1515cb438c6165
hexaef61339e50

12023244234320 has 80 divisors (see below), whose sum is σ = 30500905674240. Its totient is φ = 4371287923200.

The previous prime is 12023244234283. The next prime is 12023244234329. The reversal of 12023244234320 is 2343244232021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12023244234329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3565826 + ... + 6063134.

It is an arithmetic number, because the mean of its divisors is an integer number (381261320928).

Almost surely, 212023244234320 is an apocalyptic number.

12023244234320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12023244234320 is an abundant number, since it is smaller than the sum of its proper divisors (18477661439920).

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

12023244234320 is a wasteful number, since it uses less digits than its factorization.

12023244234320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2502804 (or 2502798 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 12023244234320 its reverse (2343244232021), we get a palindrome (14366488466341).

The spelling of 12023244234320 in words is "twelve trillion, twenty-three billion, two hundred forty-four million, two hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 5471 10942 21884 27355 43768 54710 60181 87536 109420 120362 218840 240724 300905 437680 481448 601810 962896 1203620 2407240 2497309 4814480 4994618 9989236 12486545 19978472 24973090 27470399 39956944 49946180 54940798 99892360 109881596 137351995 199784720 219763192 274703990 439526384 549407980 1098815960 2197631920 13662777539 27325555078 54651110156 68313887695 109302220312 136627775390 150290552929 218604440624 273255550780 300581105858 546511101560 601162211716 751452764645 1093022203120 1202324423432 1502905529290 2404648846864 3005811058580 6011622117160 12023244234320