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12220122121211 = 193197872119877
BaseRepresentation
bin1011000111010011100000…
…0010011100001111111011
31121021020021022200110100102
42301310320002130033323
53100203302230334321
641553502511030015
72400606006120644
oct261647002341773
947236238613312
1012220122121211
1139915853a5544
12145441220b30b
136a84777a3c54
143036582946cb
15162d17bd4c0b
hexb1d3809c3fb

12220122121211 has 16 divisors (see below), whose sum is σ = 13279594152960. Its totient is φ = 11202357529440.

The previous prime is 12220122121159. The next prime is 12220122121243. The reversal of 12220122121211 is 11212122102221.

It is a cyclic number.

It is not a de Polignac number, because 12220122121211 - 26 = 12220122121147 is a prime.

It is a super-2 number, since 2×122201221212112 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12220124121211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4704605 + ... + 6824481.

It is an arithmetic number, because the mean of its divisors is an integer number (829974634560).

Almost surely, 212220122121211 is an apocalyptic number.

12220122121211 is a deficient number, since it is larger than the sum of its proper divisors (1059472031749).

12220122121211 is a wasteful number, since it uses less digits than its factorization.

12220122121211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2129714.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 12220122121211 its reverse (11212122102221), we get a palindrome (23432244223432).

The spelling of 12220122121211 in words is "twelve trillion, two hundred twenty billion, one hundred twenty-two million, one hundred twenty-one thousand, two hundred eleven".

Divisors: 1 19 31 589 9787 185953 303397 2119877 5764543 40277663 65716187 1248607553 20747236199 394197487781 643164322169 12220122121211