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12122223320 = 2351774323993
BaseRepresentation
bin10110100101000101…
…00111001011011000
31011021211002202020002
423102202213023120
5144311242121240
65322513152132
7606254124644
oct132242471330
934254082202
1012122223320
115160751889
12242385b648
1311b258970c
1482dd55c24
154ae364d15
hex2d28a72d8

12122223320 has 64 divisors (see below), whose sum is σ = 28919488320. Its totient is φ = 4557328384.

The previous prime is 12122223287. The next prime is 12122223331. The reversal of 12122223320 is 2332222121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12122223292 and 12122223301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 493244 + ... + 517236.

It is an arithmetic number, because the mean of its divisors is an integer number (451867005).

Almost surely, 212122223320 is an apocalyptic number.

12122223320 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 12122223320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14459744160).

12122223320 is an abundant number, since it is smaller than the sum of its proper divisors (16797265000).

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

12122223320 is a wasteful number, since it uses less digits than its factorization.

12122223320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24764 (or 24760 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12122223320 its reverse (2332222121), we get a palindrome (14454445441).

The spelling of 12122223320 in words is "twelve billion, one hundred twenty-two million, two hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 743 1486 2972 3715 5944 7430 12631 14860 23993 25262 29720 47986 50524 63155 95972 101048 119965 126310 191944 239930 252620 407881 479860 505240 815762 959720 1631524 2039405 3263048 4078810 8157620 16315240 17826799 35653598 71307196 89133995 142614392 178267990 303055583 356535980 606111166 713071960 1212222332 1515277915 2424444664 3030555830 6061111660 12122223320