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12222012210120 = 2332533950033917
BaseRepresentation
bin1011000111011010100010…
…1100100011101111001000
31121021102011001012220220100
42301312220230203233020
53100221140111210440
641554414230125400
72401003566451146
oct261665054435710
947242131186810
1012222012210120
1139923652a1299
12145485b1b0860
136a86b924755b
143037972dc596
15162dc8ad6230
hexb1da8b23bc8

12222012210120 has 48 divisors (see below), whose sum is σ = 39721539684060. Its totient is φ = 3259203255936.

The previous prime is 12222012210097. The next prime is 12222012210151. The reversal of 12222012210120 is 2101221022221.

It is a happy number.

12222012210120 is a `hidden beast` number, since 1 + 222 + 201 + 221 + 0 + 1 + 20 = 666.

12222012210120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10771090780356 + 1450921429764 = 3281934^2 + 1204542^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12222012210093 and 12222012210102.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16975016599 + ... + 16975017318.

Almost surely, 212222012210120 is an apocalyptic number.

12222012210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12222012210120 is an abundant number, since it is smaller than the sum of its proper divisors (27499527473940).

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

12222012210120 is a wasteful number, since it uses less digits than its factorization.

12222012210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33950033934 (or 33950033927 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12222012210120 its reverse (2101221022221), we get a palindrome (14323233232341).

The spelling of 12222012210120 in words is "twelve trillion, two hundred twenty-two billion, twelve million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 33950033917 67900067834 101850101751 135800135668 169750169585 203700203502 271600271336 305550305253 339500339170 407400407004 509250508755 611100610506 679000678340 814800814008 1018501017510 1222201221012 1358001356680 1527751526265 2037002035020 2444402442024 3055503052530 4074004070040 6111006105060 12222012210120