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121212102001100 = 225211211903841597
BaseRepresentation
bin11011100011110111100100…
…010010000100000111001100
3120220011202121210112111110212
4123203313210102010013030
5111341414341103013400
61105444023153221552
734350166612202225
oct3343674422040714
9526152553474425
10121212102001100
113569284464a900
12117178738618b8
135283338040776
1421d09a896824c
15e03011a0e335
hex6e3de44841cc

121212102001100 has 108 divisors (see below), whose sum is σ = 289140539987712. Its totient is φ = 44073372604800.

The previous prime is 121212102001049. The next prime is 121212102001129. The reversal of 121212102001100 is 1100201212121.

It is a super-3 number, since 3×1212121020011003 (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 143605502 + ... + 144447098.

Almost surely, 2121212102001100 is an apocalyptic number.

121212102001100 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 121212102001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144570269993856).

121212102001100 is an abundant number, since it is smaller than the sum of its proper divisors (167928437986612).

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

121212102001100 is a wasteful number, since it uses less digits than its factorization.

121212102001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853536 (or 853518 counting only the distinct ones).

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

Adding to 121212102001100 its reverse (1100201212121), we get a palindrome (122312303213221).

The spelling of 121212102001100 in words is "one hundred twenty-one trillion, two hundred twelve billion, one hundred two million, one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 6050 11903 12100 23806 47612 59515 119030 130933 238060 261866 297575 523732 595150 654665 841597 1190300 1309330 1440263 1683194 2618660 2880526 3273325 3366388 4207985 5761052 6546650 7201315 8415970 9257567 13093300 14402630 16831940 18515134 21039925 28805260 36006575 37030268 42079850 46287835 72013150 84159700 92575670 101833237 144026300 185151340 203666474 231439175 407332948 462878350 509166185 925756700 1018332370 2036664740 2545830925 5091661850 10017529091 10183323700 20035058182 40070116364 50087645455 100175290910 110192820001 200350581820 220385640002 250438227275 440771280004 500876454550 550964100005 1001752909100 1101928200010 1212121020011 2203856400020 2424242040022 2754820500025 4848484080044 5509641000050 6060605100055 11019282000100 12121210200110 24242420400220 30303025500275 60606051000550 121212102001100