Search a number
-
+
12122113320 = 233557091759
BaseRepresentation
bin10110100101000100…
…01100010100101000
31011021210220011100000
423102202030110220
5144311230111240
65322510543000
7606253156152
oct132242142450
934253804300
1012122113320
115160687179
122423807a60
1311b254b625
1482dd27ad2
154ae342430
hex2d288c528

12122113320 has 192 divisors, whose sum is σ = 40936896000. Its totient is φ = 3226169088.

The previous prime is 12122113291. The next prime is 12122113321. The reversal of 12122113320 is 2331122121.

12122113320 is a `hidden beast` number, since 121 + 2 + 211 + 332 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12122113293 and 12122113302.

It is not an unprimeable number, because it can be changed into a prime (12122113321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6890601 + ... + 6892359.

It is an arithmetic number, because the mean of its divisors is an integer number (213213000).

Almost surely, 212122113320 is an apocalyptic number.

12122113320 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 12122113320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20468448000).

12122113320 is an abundant number, since it is smaller than the sum of its proper divisors (28814782680).

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

12122113320 is a wasteful number, since it uses less digits than its factorization.

12122113320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2494 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12122113320 its reverse (2331122121), we get a palindrome (14453235441).

The spelling of 12122113320 in words is "twelve billion, one hundred twenty-two million, one hundred thirteen thousand, three hundred twenty".