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12121121120 = 2551812771511
BaseRepresentation
bin10110100100111100…
…11010000101100000
31011021202000202021212
423102132122011200
5144311001333440
65322433405252
7606241554353
oct132236320540
934252022255
1012121121120
115160069779
122423409828
1311b2291b24
1482db4a29a
154ae1e8465
hex2d279a160

12121121120 has 96 divisors (see below), whose sum is σ = 28917435456. Its totient is φ = 4801075200.

The previous prime is 12121121113. The next prime is 12121121143. The reversal of 12121121120 is 2112112121.

It is a junction number, because it is equal to n+sod(n) for n = 12121121095 and 12121121104.

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, 8021165 + ... + 8022675.

It is an arithmetic number, because the mean of its divisors is an integer number (301223286).

Almost surely, 212121121120 is an apocalyptic number.

12121121120 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 12121121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14458717728).

12121121120 is an abundant number, since it is smaller than the sum of its proper divisors (16796314336).

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

12121121120 is a wasteful number, since it uses less digits than its factorization.

12121121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984 (or 1976 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12121121120 its reverse (2112112121), we get a palindrome (14233233241).

The spelling of 12121121120 in words is "twelve billion, one hundred twenty-one million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 181 277 362 554 724 905 1108 1385 1448 1511 1810 2216 2770 2896 3022 3620 4432 5540 5792 6044 7240 7555 8864 11080 12088 14480 15110 22160 24176 28960 30220 44320 48352 50137 60440 100274 120880 200548 241760 250685 273491 401096 418547 501370 546982 802192 837094 1002740 1093964 1367455 1604384 1674188 2005480 2092735 2187928 2734910 3348376 4010960 4185470 4375856 5469820 6696752 8021920 8370940 8751712 10939640 13393504 16741880 21879280 33483760 43758560 66967520 75757007 151514014 303028028 378785035 606056056 757570070 1212112112 1515140140 2424224224 3030280280 6060560560 12121121120