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1220011110121 = 1924018427761
BaseRepresentation
bin10001110000001110010…
…101000010111011101001
311022122001200010211110011
4101300032111002323221
5124442040321010441
62332244304051521
7154100004221656
oct21601625027351
94278050124404
101220011110121
11430449514331
12178543303ba1
138b07b38257b
14430980a2c2d
1521b068ed581
hex11c0e542ee9

1220011110121 has 12 divisors (see below), whose sum is σ = 1290812883444. Its totient is φ = 1152917568000.

The previous prime is 1220011110103. The next prime is 1220011110127. The reversal of 1220011110121 is 1210111100221.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 896409410521 + 323601699600 = 946789^2 + 568860^2 .

It is not a de Polignac number, because 1220011110121 - 223 = 1220002721513 is a prime.

It is a super-3 number, since 3×12200111101213 (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1220011110127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4069120 + ... + 4358641.

It is an arithmetic number, because the mean of its divisors is an integer number (107567740287).

Almost surely, 21220011110121 is an apocalyptic number.

It is an amenable number.

1220011110121 is a deficient number, since it is larger than the sum of its proper divisors (70801773323).

1220011110121 is an equidigital number, since it uses as much as digits as its factorization.

1220011110121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8428200 (or 8428181 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1220011110121 its reverse (1210111100221), we get a palindrome (2430122210342).

The spelling of 1220011110121 in words is "one trillion, two hundred twenty billion, eleven million, one hundred ten thousand, one hundred twenty-one".

Divisors: 1 19 361 401 7619 144761 8427761 160127459 3042421721 3379532161 64211111059 1220011110121