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12320000224 = 25731122449
BaseRepresentation
bin10110111100101010…
…00100100011100000
31011210121020212010121
423132111010203200
5200212410001344
65354300210024
7614205163000
oct133625044340
934717225117
1012320000224
115252356574
122479b39914
131214545b7c
1484c31a000
154c18d0684
hex2de5448e0

12320000224 has 48 divisors (see below), whose sum is σ = 28285740000. Its totient is φ = 5279995392.

The previous prime is 12320000221. The next prime is 12320000227. The reversal of 12320000224 is 42200002321.

It is an interprime number because it is at equal distance from previous prime (12320000221) and next prime (12320000227).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12320000198 and 12320000207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12320000221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 550249 + ... + 572200.

It is an arithmetic number, because the mean of its divisors is an integer number (589286250).

Almost surely, 212320000224 is an apocalyptic number.

12320000224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12320000224 is an abundant number, since it is smaller than the sum of its proper divisors (15965739776).

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

12320000224 is an equidigital number, since it uses as much as digits as its factorization.

12320000224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122480 (or 1122458 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 12320000224 its reverse (42200002321), we get a palindrome (54520002545).

The spelling of 12320000224 in words is "twelve billion, three hundred twenty million, two hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 343 392 686 784 1372 1568 2744 5488 10976 1122449 2244898 4489796 7857143 8979592 15714286 17959184 31428572 35918368 55000001 62857144 110000002 125714288 220000004 251428576 385000007 440000008 770000014 880000016 1540000028 1760000032 3080000056 6160000112 12320000224