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120222221200201 = 432253853256133
BaseRepresentation
bin11011010101011101101010…
…110010011110101101001001
3120202200010120022011122112201
4123111131222302132231021
5111224210102111401301
61103405154224240201
734215524500212331
oct3325355262365511
9522603508148481
10120222221200201
1135340a59753a7a
1211597a56770061
135210ba3368903
142198b024320c1
15dd73c884e201
hex6d576ac9eb49

120222221200201 has 12 divisors (see below), whose sum is σ = 123084072345348. Its totient is φ = 117425434557984.

The previous prime is 120222221200163. The next prime is 120222221200229. The reversal of 120222221200201 is 102002122222021.

It can be written as a sum of positive squares in 2 ways, for example, as 78540361290000 + 41681859910201 = 8862300^2 + 6456149^2 .

It is not a de Polignac number, because 120222221200201 - 223 = 120222212811593 is a prime.

It is a super-3 number, since 3×1202222212002013 (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120222221200231) 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, 469246131 + ... + 469502263.

It is an arithmetic number, because the mean of its divisors is an integer number (10257006028779).

Almost surely, 2120222221200201 is an apocalyptic number.

It is an amenable number.

120222221200201 is a deficient number, since it is larger than the sum of its proper divisors (2861851145147).

120222221200201 is an equidigital number, since it uses as much as digits as its factorization.

120222221200201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510072 (or 510029 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 120222221200201 its reverse (102002122222021), we get a palindrome (222224343422222).

The spelling of 120222221200201 in words is "one hundred twenty trillion, two hundred twenty-two billion, two hundred twenty-one million, two hundred thousand, two hundred one".

Divisors: 1 43 1849 253853 256133 10915679 11013719 469374197 473589917 65020130449 2795865609307 120222221200201