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12020001022201 = 295325730429689
BaseRepresentation
bin1010111011101001111111…
…1001000010000011111001
31120120002201112112022020111
42232322133321002003321
53033413430230202301
641321525013224321
72350262554624414
oct256723771020371
946502645468214
1012020001022201
113914721241917
1214216820320a1
13692634364873
142d7ab208cb7b
1515ca03cde551
hexaee9fe420f9

12020001022201 has 16 divisors (see below), whose sum is σ = 12718393232400. Its totient is φ = 11342240186368.

The previous prime is 12020001022187. The next prime is 12020001022219. The reversal of 12020001022201 is 10222010002021.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1080610146576 + 10939390875625 = 1039524^2 + 3307475^2 .

It is a cyclic number.

It is not a de Polignac number, because 12020001022201 - 219 = 12020000497913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12020001022261) 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, 14819836 + ... + 15609853.

It is an arithmetic number, because the mean of its divisors is an integer number (794899577025).

Almost surely, 212020001022201 is an apocalyptic number.

It is an amenable number.

12020001022201 is a deficient number, since it is larger than the sum of its proper divisors (698392210199).

12020001022201 is a wasteful number, since it uses less digits than its factorization.

12020001022201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30430028.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12020001022201 its reverse (10222010002021), we get a palindrome (22242011024222).

The spelling of 12020001022201 in words is "twelve trillion, twenty billion, one million, twenty-two thousand, two hundred one".

Divisors: 1 29 53 257 1537 7453 13621 395009 30429689 882460981 1612773517 7820430073 46770431993 226792472117 414482793869 12020001022201