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2212120222201 = 1741277409113
BaseRepresentation
bin100000001100001100101…
…000111101100111111001
321211110212110110121200001
4200030030220331213321
5242220410234102301
64412122313313001
7315551254433611
oct40141450754771
97743773417601
102212120222201
1178317821734a
122b8882705761
131307a98bc156
14790d2525a41
153c82051dc01
hex2030ca3d9f9

2212120222201 has 12 divisors (see below), whose sum is σ = 2400766261596. Its totient is φ = 2031215098880.

The previous prime is 2212120222187. The next prime is 2212120222267. The reversal of 2212120222201 is 1022220212122.

It can be written as a sum of positive squares in 6 ways, for example, as 3624040000 + 2208496182201 = 60200^2 + 1486101^2 .

It is not a de Polignac number, because 2212120222201 - 223 = 2212111833593 is a prime.

It is a super-2 number, since 2×22121202222012 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2212120226201) 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, 38675980 + ... + 38733133.

It is an arithmetic number, because the mean of its divisors is an integer number (200063855133).

Almost surely, 22212120222201 is an apocalyptic number.

It is an amenable number.

2212120222201 is a deficient number, since it is larger than the sum of its proper divisors (188646039395).

2212120222201 is an equidigital number, since it uses as much as digits as its factorization.

2212120222201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77409212 (or 77409171 counting only the distinct ones).

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

Adding to 2212120222201 its reverse (1022220212122), we get a palindrome (3234340434323).

It can be divided in two parts, 2212120 and 222201, that added together give a triangular number (2434321 = T2206).

The spelling of 2212120222201 in words is "two trillion, two hundred twelve billion, one hundred twenty million, two hundred twenty-two thousand, two hundred one".

Divisors: 1 17 41 697 1681 28577 77409113 1315954921 3173773633 53954151761 130124718953 2212120222201