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12121310120 = 2359710928661
BaseRepresentation
bin10110100100111110…
…01000001110101000
31011021202101100112212
423102133020032220
5144311023410440
65322441424252
7606243302363
oct132237101650
934252340485
1012121310120
115160188777
12242349b088
1311b2329b6a
1482db990da
154ae234465
hex2d27c83a8

12121310120 has 64 divisors (see below), whose sum is σ = 27807872400. Its totient is φ = 4754350080.

The previous prime is 12121310111. The next prime is 12121310143. The reversal of 12121310120 is 2101312121.

It can be written as a sum of positive squares in 8 ways, for example, as 9856121284 + 2265188836 = 99278^2 + 47594^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12121310095 and 12121310104.

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, 408590 + ... + 437250.

Almost surely, 212121310120 is an apocalyptic number.

12121310120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12121310120 is an abundant number, since it is smaller than the sum of its proper divisors (15686562280).

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

12121310120 is a wasteful number, since it uses less digits than its factorization.

12121310120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28878 (or 28874 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 12121310120 its reverse (2101312121), we get a palindrome (14222622241).

The spelling of 12121310120 in words is "twelve billion, one hundred twenty-one million, three hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 97 109 194 218 388 436 485 545 776 872 970 1090 1940 2180 3880 4360 10573 21146 28661 42292 52865 57322 84584 105730 114644 143305 211460 229288 286610 422920 573220 1146440 2780117 3124049 5560234 6248098 11120468 12496196 13900585 15620245 22240936 24992392 27801170 31240490 55602340 62480980 111204680 124961960 303032753 606065506 1212131012 1515163765 2424262024 3030327530 6060655060 12121310120