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12120112112200 = 2352147414111021
BaseRepresentation
bin1011000001011110111011…
…1110100010001001001000
31120220200010110012121022121
42300113232332202021020
53042033442200042300
641435522545301024
72360435451064441
oct260275676421110
946820113177277
1012120112112200
113953124353534
121438b61034774
1369bbc9b9b821
142dc88bb8a2c8
15160412b6e81a
hexb05eefa2248

12120112112200 has 48 divisors (see below), whose sum is σ = 28181179140660. Its totient is φ = 4847714784000.

The previous prime is 12120112112179. The next prime is 12120112112203. The reversal of 12120112112200 is 221121102121.

It can be written as a sum of positive squares in 6 ways, for example, as 6683165973124 + 5436946139076 = 2585182^2 + 2331726^2 .

It is a super-2 number, since 2×121201121122002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12120112112203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 892690 + ... + 5003710.

Almost surely, 212120112112200 is an apocalyptic number.

12120112112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12120112112200 is an abundant number, since it is smaller than the sum of its proper divisors (16061067028460).

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

12120112112200 is a wasteful number, since it uses less digits than its factorization.

12120112112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4125778 (or 4125769 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12120112112200 its reverse (221121102121), we get a palindrome (12341233214321).

The spelling of 12120112112200 in words is "twelve trillion, one hundred twenty billion, one hundred twelve million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 14741 29482 58964 73705 117928 147410 294820 368525 589640 737050 1474100 2948200 4111021 8222042 16444084 20555105 32888168 41110210 82220420 102775525 164440840 205551050 411102100 822204200 60600560561 121201121122 242402242244 303002802805 484804484488 606005605610 1212011211220 1515014014025 2424022422440 3030028028050 6060056056100 12120112112200