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1212104320 = 2757416599
BaseRepresentation
bin100100000111111…
…0011111010000000
310010110210021112121
41020033303322000
54440244314240
6320135334024
742015500560
oct11017637200
93113707477
101212104320
11572223a09
12299b21314
13164171abb
14b6da0da0
157162c04a
hex483f3e80

1212104320 has 128 divisors (see below), whose sum is σ = 3392928000. Its totient is φ = 405381120.

The previous prime is 1212104287. The next prime is 1212104323. The reversal of 1212104320 is 234012121.

It is a tau number, because it is divible by the number of its divisors (128).

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 = 1212104294 and 1212104303.

It is not an unprimeable number, because it can be changed into a prime (1212104323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180381 + ... + 186979.

It is an arithmetic number, because the mean of its divisors is an integer number (26507250).

Almost surely, 21212104320 is an apocalyptic number.

1212104320 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 1212104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696464000).

1212104320 is an abundant number, since it is smaller than the sum of its proper divisors (2180823680).

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

1212104320 is an equidigital number, since it uses as much as digits as its factorization.

1212104320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6666 (or 6654 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1212104320 is about 34815.2885956730. The cubic root of 1212104320 is about 1066.2196112699.

Adding to 1212104320 its reverse (234012121), we get a palindrome (1446116441).

The spelling of 1212104320 in words is "one billion, two hundred twelve million, one hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 41 56 64 70 80 82 112 128 140 160 164 205 224 280 287 320 328 410 448 560 574 640 656 820 896 1120 1148 1312 1435 1640 2240 2296 2624 2870 3280 4480 4592 5248 5740 6560 6599 9184 11480 13120 13198 18368 22960 26240 26396 32995 36736 45920 46193 52792 65990 91840 92386 105584 131980 183680 184772 211168 230965 263960 270559 369544 422336 461930 527920 541118 739088 844672 923860 1055840 1082236 1352795 1478176 1847720 1893913 2111680 2164472 2705590 2956352 3695440 3787826 4223360 4328944 5411180 5912704 7390880 7575652 8657888 9469565 10822360 14781760 15151304 17315776 18939130 21644720 29563520 30302608 34631552 37878260 43289440 60605216 75756520 86578880 121210432 151513040 173157760 242420864 303026080 606052160 1212104320