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12121123000 = 235371731589
BaseRepresentation
bin10110100100111100…
…11010100010111000
31011021202000211212111
423102132122202320
5144311001414000
65322433422104
7606241563010
oct132236324270
934252024774
1012121123000
115160070128
12242340a934
1311b229293c
1482db4ac40
154ae1e8cba
hex2d279a8b8

12121123000 has 64 divisors (see below), whose sum is σ = 32415364800. Its totient is φ = 4155811200.

The previous prime is 12121122943. The next prime is 12121123037. The reversal of 12121123000 is 32112121.

12121123000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121211230002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 858795 + ... + 872794.

It is an arithmetic number, because the mean of its divisors is an integer number (506490075).

Almost surely, 212121123000 is an apocalyptic number.

12121123000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12121123000 is an abundant number, since it is smaller than the sum of its proper divisors (20294241800).

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

12121123000 is a wasteful number, since it uses less digits than its factorization.

12121123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731617 (or 1731603 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 12121123000 its reverse (32112121), we get a palindrome (12153235121).

The spelling of 12121123000 in words is "twelve billion, one hundred twenty-one million, one hundred twenty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 7000 1731589 3463178 6926356 8657945 12121123 13852712 17315890 24242246 34631780 43289725 48484492 60605615 69263560 86579450 96968984 121211230 173158900 216448625 242422460 303028075 346317800 432897250 484844920 606056150 865794500 1212112300 1515140375 1731589000 2424224600 3030280750 6060561500 12121123000