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12344213120 = 27599119463
BaseRepresentation
bin10110111111100010…
…11011111010000000
31011212021210222222112
423133301123322000
5200240104304440
65400523154452
7614621036351
oct133761337200
934767728875
1012344213120
115264a94028
122486075a28
131219572a25
1485161dd28
154c3ab4965
hex2dfc5be80

12344213120 has 64 divisors (see below), whose sum is σ = 29541680640. Its totient is φ = 4932449280.

The previous prime is 12344213117. The next prime is 12344213143. The reversal of 12344213120 is 2131244321.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 624509 + ... + 643971.

It is an arithmetic number, because the mean of its divisors is an integer number (461588760).

Almost surely, 212344213120 is an apocalyptic number.

12344213120 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 12344213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14770840320).

12344213120 is an abundant number, since it is smaller than the sum of its proper divisors (17197467520).

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

12344213120 is an equidigital number, since it uses as much as digits as its factorization.

12344213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20473 (or 20461 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 12344213120 its reverse (2131244321), we get a palindrome (14475457441).

The spelling of 12344213120 in words is "twelve billion, three hundred forty-four million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 991 1982 3964 4955 7928 9910 15856 19463 19820 31712 38926 39640 63424 77852 79280 97315 126848 155704 158560 194630 311408 317120 389260 622816 634240 778520 1245632 1557040 2491264 3114080 6228160 12456320 19287833 38575666 77151332 96439165 154302664 192878330 308605328 385756660 617210656 771513320 1234421312 1543026640 2468842624 3086053280 6172106560 12344213120