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122211102221211 = 3615881113555557
BaseRepresentation
bin11011110010011001111101…
…010101011110001110011011
3121000201021012211200211210010
4123302121331111132032123
5112004301314132034321
61111531001051053003
734512314020025133
oct3362317525361633
9530637184624703
10122211102221211
1135a3848a192323
12118593b6a41163
1353265c4148373
1422270982bdac3
15e1ded05d9676
hex6f267d55e39b

122211102221211 has 16 divisors (see below), whose sum is σ = 165647580454688. Its totient is φ = 80124800313600.

The previous prime is 122211102221189. The next prime is 122211102221291. The reversal of 122211102221211 is 112122201112221.

It is not a de Polignac number, because 122211102221211 - 25 = 122211102221179 is a prime.

It is a super-2 number, since 2×1222111022212112 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122211102221291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55701556 + ... + 57854001.

It is an arithmetic number, because the mean of its divisors is an integer number (10352973778418).

Almost surely, 2122211102221211 is an apocalyptic number.

122211102221211 is a deficient number, since it is larger than the sum of its proper divisors (43436478233477).

122211102221211 is a wasteful number, since it uses less digits than its factorization.

122211102221211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113561502.

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 122211102221211 its reverse (112122201112221), we get a palindrome (234333303333432).

The spelling of 122211102221211 in words is "one hundred twenty-two trillion, two hundred eleven billion, one hundred two million, two hundred twenty-one thousand, two hundred eleven".

Divisors: 1 3 61 183 5881 17643 358741 1076223 113555557 340666671 6926888977 20780666931 667820230717 2003460692151 40737034073737 122211102221211