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122221122221 = 11411012719901
BaseRepresentation
bin111000111010011110…
…0100101001010101101
3102200110210121022101102
41301310330211022231
54000302101402341
6132051514452445
711554516253252
oct1616474451255
9380423538342
10122221122221
1147919701120
121b82b734125
13b6aa402b83
145cb6321429
1532a4e95c9b
hex1c74f252ad

122221122221 has 32 divisors (see below), whose sum is σ = 138459428352. Its totient is φ = 106920000000.

The previous prime is 122221122119. The next prime is 122221122259.

122221122221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 122221122221 - 214 = 122221105837 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122221122193 and 122221122202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122221122281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12339371 + ... + 12349271.

It is an arithmetic number, because the mean of its divisors is an integer number (4326857136).

Almost surely, 2122221122221 is an apocalyptic number.

122221122221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122221122221 is a deficient number, since it is larger than the sum of its proper divisors (16238306131).

122221122221 is a wasteful number, since it uses less digits than its factorization.

122221122221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10325.

The product of its digits is 256, while the sum is 20.

It can be divided in two parts, 122221 and 122221, that added together give a palindrome (244442).

The spelling of 122221122221 in words is "one hundred twenty-two billion, two hundred twenty-one million, one hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 11 41 101 271 451 1111 2981 4141 9901 11111 27371 45551 108911 122221 301081 405941 1000001 1122211 2683171 4465351 11000011 12344321 29514881 41000041 110010011 271000271 451000451 1210110121 2981002981 11111011111 122221122221