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122122 = 27111361
BaseRepresentation
bin11101110100001010
320012112001
4131310022
512401442
62341214
71016020
oct356412
9205461
10122122
1183830
125a80a
1343780
1432710
15262b7
hex1dd0a

122122 has 32 divisors (see below), whose sum is σ = 249984. Its totient is φ = 43200.

The previous prime is 122117. The next prime is 122131. The reversal of 122122 is 221221.

Adding to 122122 its reverse (221221), we get a palindrome (343343).

Subtracting 122122 from its reverse (221221), we obtain a palindrome (99099).

It can be divided in two parts, 1221 and 22, that multiplied together give a palindrome (26862).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 122099 and 122108.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1972 + ... + 2032.

It is an arithmetic number, because the mean of its divisors is an integer number (7812).

2122122 is an apocalyptic number.

122122 is an abundant number, since it is smaller than the sum of its proper divisors (127862).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122122 is a wasteful number, since it uses less digits than its factorization.

122122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94.

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

The square root of 122122 is about 349.4595827846. The cubic root of 122122 is about 49.6132833829.

The spelling of 122122 in words is "one hundred twenty-two thousand, one hundred twenty-two", and thus it is an iban number.

Divisors: 1 2 7 11 13 14 22 26 61 77 91 122 143 154 182 286 427 671 793 854 1001 1342 1586 2002 4697 5551 8723 9394 11102 17446 61061 122122