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122202221220221 = 2941709011449589
BaseRepresentation
bin11011110010010001101011…
…111111001001000101111101
3121000200102021220112020201112
4123302101223333021011331
5112004130122113021341
61111522531520251405
734511550650536022
oct3362215377110575
9530612256466645
10122202221220221
1135a3474208988a
1211857738770b65
13532580a2314ac
142226894a03549
15e1db60ab6aeb
hex6f246bfc917d

122202221220221 has 16 divisors (see below), whose sum is σ = 129501326026800. Its totient is φ = 115108883904000.

The previous prime is 122202221220217. The next prime is 122202221220223. The reversal of 122202221220221 is 122022122202221.

It can be written as a sum of positive squares in 8 ways, for example, as 8392690116196 + 113809531104025 = 2897014^2 + 10668155^2 .

It is a cyclic number.

It is not a de Polignac number, because 122202221220221 - 22 = 122202221220217 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122202221220223) 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, 83576495 + ... + 85026083.

It is an arithmetic number, because the mean of its divisors is an integer number (8093832876675).

Almost surely, 2122202221220221 is an apocalyptic number.

It is an amenable number.

122202221220221 is a deficient number, since it is larger than the sum of its proper divisors (7299104806579).

122202221220221 is a wasteful number, since it uses less digits than its factorization.

122202221220221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520560.

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 122202221220221 its reverse (122022122202221), we get a palindrome (244224343422442).

The spelling of 122202221220221 in words is "one hundred twenty-two trillion, two hundred two billion, two hundred twenty-one million, two hundred twenty thousand, two hundred twenty-one".

Divisors: 1 29 41 1189 70901 1449589 2056129 2906941 42038081 59433149 84301289 1723561321 102777309689 2980541980981 4213869697249 122202221220221