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120121002001220 = 225111495136519601
BaseRepresentation
bin11011010011111111011001…
…101001111000001101000100
3120202022110022011101120201012
4123103333121221320031010
5111221030303003014340
61103250454305421352
734205312260214003
oct3323773151701504
9522273264346635
10120121002001220
1135302038099710
121158030863a858
1352044920a206c
142193c5d4c4c3a
15dd4952585565
hex6d3fd9a78344

120121002001220 has 48 divisors (see below), whose sum is σ = 275204708908416. Its totient is φ = 43677441600000.

The previous prime is 120121002001171. The next prime is 120121002001223. The reversal of 120121002001220 is 22100200121021.

120121002001220 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 = 120121002001195 and 120121002001204.

It is not an unprimeable number, because it can be changed into a prime (120121002001223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14970581 + ... + 21549020.

It is an arithmetic number, because the mean of its divisors is an integer number (5733431435592).

Almost surely, 2120121002001220 is an apocalyptic number.

120121002001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120121002001220 is an abundant number, since it is smaller than the sum of its proper divisors (155083706907196).

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

120121002001220 is a wasteful number, since it uses less digits than its factorization.

120121002001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36534572 (or 36534570 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 120121002001220 its reverse (22100200121021), we get a palindrome (142221202122241).

The spelling of 120121002001220 in words is "one hundred twenty trillion, one hundred twenty-one billion, two million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 14951 29902 59804 74755 149510 164461 299020 328922 657844 822305 1644610 3289220 36519601 73039202 146078404 182598005 365196010 401715611 730392020 803431222 1606862444 2008578055 4017156110 8034312220 546004554551 1092009109102 2184018218204 2730022772755 5460045545510 6006050100061 10920091091020 12012100200122 24024200400244 30030250500305 60060501000610 120121002001220