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12122001324 = 22331071139283
BaseRepresentation
bin10110100101000011…
…10000111110101100
31011021210200110201000
423102201300332230
5144311213020244
65322504320300
7606252211506
oct132241607654
934253613630
1012122001324
115160610014
122423773090
1311b250c664
1482dcd8d76
154ae31e169
hex2d2870fac

12122001324 has 96 divisors (see below), whose sum is σ = 32005290240. Its totient is φ = 3967052544.

The previous prime is 12122001293. The next prime is 12122001337. The reversal of 12122001324 is 42310022121.

It is a happy number.

12122001324 is a `hidden beast` number, since 121 + 220 + 0 + 1 + 324 = 666.

12122001324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 12122001297 and 12122001306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1301187 + ... + 1310469.

It is an arithmetic number, because the mean of its divisors is an integer number (333388440).

Almost surely, 212122001324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12122001324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16002645120).

12122001324 is an abundant number, since it is smaller than the sum of its proper divisors (19883288916).

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

12122001324 is a wasteful number, since it uses less digits than its factorization.

12122001324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9516 (or 9508 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12122001324 its reverse (42310022121), we get a palindrome (54432023445).

The spelling of 12122001324 in words is "twelve billion, one hundred twenty-two million, one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 107 108 113 214 226 321 339 428 452 642 678 963 1017 1284 1356 1926 2034 2889 3051 3852 4068 5778 6102 9283 11556 12091 12204 18566 24182 27849 36273 37132 48364 55698 72546 83547 108819 111396 145092 167094 217638 250641 326457 334188 435276 501282 652914 993281 1002564 1048979 1305828 1986562 2097958 2979843 3146937 3973124 4195916 5959686 6293874 8939529 9440811 11919372 12587748 17879058 18881622 26818587 28322433 35758116 37763244 53637174 56644866 107274348 112240753 113289732 224481506 336722259 448963012 673444518 1010166777 1346889036 2020333554 3030500331 4040667108 6061000662 12122001324