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12243032400 = 2435213774471
BaseRepresentation
bin10110110011011110…
…11101100101010000
31011121020102111010110
423121233131211100
5200033204014100
65342510401320
7612252026004
oct133157354520
934536374113
1012243032400
1152129664a5
122458200240
131201607991
14842002704
154b9c7a250
hex2d9bdd950

12243032400 has 120 divisors (see below), whose sum is σ = 39505310784. Its totient is φ = 3240934400.

The previous prime is 12243032381. The next prime is 12243032407. The reversal of 12243032400 is 423034221.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12243032407) 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 23 ways as a sum of consecutive naturals, for example, 127165 + ... + 201635.

Almost surely, 212243032400 is an apocalyptic number.

12243032400 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 12243032400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19752655392).

12243032400 is an abundant number, since it is smaller than the sum of its proper divisors (27262278384).

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

12243032400 is a wasteful number, since it uses less digits than its factorization.

12243032400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74629 (or 74618 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 12243032400 its reverse (423034221), we get a palindrome (12666066621).

The spelling of 12243032400 in words is "twelve billion, two hundred forty-three million, thirty-two thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 137 150 200 240 274 300 400 411 548 600 685 822 1096 1200 1370 1644 2055 2192 2740 3288 3425 4110 5480 6576 6850 8220 10275 10960 13700 16440 20550 27400 32880 41100 54800 74471 82200 148942 164400 223413 297884 372355 446826 595768 744710 893652 1117065 1191536 1489420 1787304 1861775 2234130 2978840 3574608 3723550 4468260 5585325 5957680 7447100 8936520 10202527 11170650 14894200 17873040 20405054 22341300 29788400 30607581 40810108 44682600 51012635 61215162 81620216 89365200 102025270 122430324 153037905 163240432 204050540 244860648 255063175 306075810 408101080 489721296 510126350 612151620 765189525 816202160 1020252700 1224303240 1530379050 2040505400 2448606480 3060758100 4081010800 6121516200 12243032400