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12344320000 = 213542411
BaseRepresentation
bin10110111111100011…
…10110000000000000
31011212022000102121001
423133301312000000
5200240121220000
65400525341344
7614621663065
oct133761660000
934768012531
1012344320000
115265057361
122486107854
1312195ac57c
1485164ac6c
154c3ad646a
hex2dfc76000

12344320000 has 140 divisors (see below), whose sum is σ = 30861836676. Its totient is φ = 4935680000.

The previous prime is 12344319997. The next prime is 12344320013. The reversal of 12344320000 is 2344321.

It is a self number, because there is not a number n which added to its sum of digits gives 12344320000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5118795 + ... + 5121205.

Almost surely, 212344320000 is an apocalyptic number.

12344320000 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 12344320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15430918338).

12344320000 is an abundant number, since it is smaller than the sum of its proper divisors (18517516676).

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

12344320000 is an frugal number, since it uses more digits than its factorization.

12344320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2457 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 12344320000 its reverse (2344321), we get a palindrome (12346664321).

It can be divided in two parts, 1234 and 4320000, that added together give a palindrome (4321234).

The spelling of 12344320000 in words is "twelve billion, three hundred forty-four million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1024 1250 1280 1600 2000 2048 2411 2500 2560 3200 4000 4096 4822 5000 5120 6400 8000 8192 9644 10000 10240 12055 12800 16000 19288 20000 20480 24110 25600 32000 38576 40000 40960 48220 51200 60275 64000 77152 80000 96440 102400 120550 128000 154304 160000 192880 204800 241100 256000 301375 308608 320000 385760 482200 512000 602750 617216 640000 771520 964400 1024000 1205500 1234432 1280000 1506875 1543040 1928800 2411000 2468864 2560000 3013750 3086080 3857600 4822000 4937728 5120000 6027500 6172160 7715200 9644000 9875456 12055000 12344320 15430400 19288000 19750912 24110000 24688640 30860800 38576000 48220000 49377280 61721600 77152000 96440000 98754560 123443200 154304000 192880000 246886400 308608000 385760000 493772800 617216000 771520000 1234432000 1543040000 2468864000 3086080000 6172160000 12344320000