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12120101110000 = 24541393231547
BaseRepresentation
bin1011000001011110111001…
…0100100100000011110000
31120220200002200111122010201
42300113232110210003300
53042033431341010000
641435521513404544
72360435255422162
oct260275624440360
946820080448121
1012120101110000
113953119119404
121438b59409754
1369bbc7818a50
142dc88a524932
15160411be996a
hexb05ee5240f0

12120101110000 has 100 divisors (see below), whose sum is σ = 31601206120792. Its totient is φ = 4475114208000.

The previous prime is 12120101109983. The next prime is 12120101110001. The reversal of 12120101110000 is 1110102121.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12120101110001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 46485774 + ... + 46745773.

Almost surely, 212120101110000 is an apocalyptic number.

12120101110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12120101110000 is an abundant number, since it is smaller than the sum of its proper divisors (19481105010792).

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

12120101110000 is an equidigital number, since it uses as much as digits as its factorization.

12120101110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93231588 (or 93231567 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 12120101110000 its reverse (1110102121), we get a palindrome (12121211212121).

The spelling of 12120101110000 in words is "twelve trillion, one hundred twenty billion, one hundred one million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 625 650 1000 1040 1250 1300 1625 2000 2500 2600 3250 5000 5200 6500 8125 10000 13000 16250 26000 32500 65000 130000 93231547 186463094 372926188 466157735 745852376 932315470 1212010111 1491704752 1864630940 2330788675 2424020222 3729261880 4661577350 4848040444 6060050555 7458523760 9323154700 9696080888 11653943375 12120101110 18646309400 19392161776 23307886750 24240202220 30300252775 37292618800 46615773500 48480404440 58269716875 60600505550 93231547000 96960808880 116539433750 121201011100 151501263875 186463094000 233078867500 242402022200 303002527750 466157735000 484804044400 606005055500 757506319375 932315470000 1212010111000 1515012638750 2424020222000 3030025277500 6060050555000 12120101110000