Search a number
-
+
122221 = 1141271
BaseRepresentation
bin11101110101101101
320012122201
4131311231
512402341
62341501
71016221
oct356555
9205581
10122221
1183910
125a891
1343828
1432781
1526331
hex1dd6d

122221 has 8 divisors (see below), whose sum is σ = 137088. Its totient is φ = 108000.

The previous prime is 122219. The next prime is 122231.

122221 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 3-Lehmer number, since φ(122221) divides (122221-1)3.

It is a cyclic number.

It is not a de Polignac number, because 122221 - 21 = 122219 is a prime.

It is a deceptive number, since it divides R122220.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122198 and 122207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 316 + ... + 586.

It is an arithmetic number, because the mean of its divisors is an integer number (17136).

2122221 is an apocalyptic number.

122221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122221 is a deficient number, since it is larger than the sum of its proper divisors (14867).

122221 is a wasteful number, since it uses less digits than its factorization.

122221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323.

The product of its digits is 16, while the sum is 10.

The square root of 122221 is about 349.6012013709. The cubic root of 122221 is about 49.6266863417.

It can be divided in two parts, 122 and 221, that multiplied together give a palindrome (26962).

The spelling of 122221 in words is "one hundred twenty-two thousand, two hundred twenty-one", and thus it is an iban number.

Divisors: 1 11 41 271 451 2981 11111 122221