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12122333120 = 26537882291
BaseRepresentation
bin10110100101000110…
…00001111111000000
31011021211022022211202
423102203001333000
5144311304124440
65322515400332
7606255063032
oct132243017700
934254268752
1012122333120
115160817327
1224238b30a8
1311b25c76a1
1482dd83c52
154ae387615
hex2d28c1fc0

12122333120 has 28 divisors (see below), whose sum is σ = 28866306504. Its totient is φ = 4848933120.

The previous prime is 12122333117. The next prime is 12122333129. The reversal of 12122333120 is 2133322121.

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 = 12122333092 and 12122333101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122333129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18940826 + ... + 18941465.

It is an arithmetic number, because the mean of its divisors is an integer number (1030939518).

Almost surely, 212122333120 is an apocalyptic number.

12122333120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122333120 is an abundant number, since it is smaller than the sum of its proper divisors (16743973384).

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

12122333120 is an equidigital number, since it uses as much as digits as its factorization.

12122333120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37882308 (or 37882298 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 12122333120 its reverse (2133322121), we get a palindrome (14255655241).

It can be divided in two parts, 1212 and 2333120, that added together give a palindrome (2334332).

The spelling of 12122333120 in words is "twelve billion, one hundred twenty-two million, three hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 37882291 75764582 151529164 189411455 303058328 378822910 606116656 757645820 1212233312 1515291640 2424466624 3030583280 6061166560 12122333120