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120112212012 = 223132173483937
BaseRepresentation
bin110111111011100111…
…1101110100000101100
3102111000211022120102220
41233313033232200230
53431442211241022
6131102341315340
711451330646062
oct1576717564054
9374024276386
10120112212012
1146a37237721
121b341405b50
13b432515500
145b561d6032
1531cec6d85c
hex1bf73ee82c

120112212012 has 72 divisors (see below), whose sum is σ = 321330569616. Its totient is φ = 34783617024.

The previous prime is 120112212007. The next prime is 120112212041. The reversal of 120112212012 is 210212211021.

120112212012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 120112211982 and 120112212000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1707493 + ... + 1776444.

It is an arithmetic number, because the mean of its divisors is an integer number (4462924578).

Almost surely, 2120112212012 is an apocalyptic number.

120112212012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120112212012 is an abundant number, since it is smaller than the sum of its proper divisors (201218357604).

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

120112212012 is a wasteful number, since it uses less digits than its factorization.

120112212012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3483987 (or 3483972 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 120112212012 its reverse (210212211021), we get a palindrome (330324423033).

Subtracting 120112212012 from its reverse (210212211021), we obtain a palindrome (90099999009).

The spelling of 120112212012 in words is "one hundred twenty billion, one hundred twelve million, two hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 169 204 221 338 442 507 663 676 884 1014 1326 2028 2652 2873 5746 8619 11492 17238 34476 3483937 6967874 10451811 13935748 20903622 41807244 45291181 59226929 90582362 118453858 135873543 177680787 181164724 236907716 271747086 355361574 543494172 588785353 710723148 769950077 1177570706 1539900154 1766356059 2309850231 2355141412 3079800308 3532712118 4619700462 7065424236 9239400924 10009351001 20018702002 30028053003 40037404004 60056106006 120112212012