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122130 = 23252359
BaseRepresentation
bin11101110100010010
320012112100
4131310102
512402010
62341230
71016031
oct356422
9205470
10122130
1183838
125a816
1343788
1432718
15262c0
hex1dd12

122130 has 48 divisors (see below), whose sum is σ = 336960. Its totient is φ = 30624.

The previous prime is 122117. The next prime is 122131. The reversal of 122130 is 31221.

It is a happy number.

122130 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (9).

122130 is an undulating number in base 11.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (122131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2041 + ... + 2099.

It is an arithmetic number, because the mean of its divisors is an integer number (7020).

2122130 is an apocalyptic number.

122130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168480).

122130 is an abundant number, since it is smaller than the sum of its proper divisors (214830).

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

122130 is a wasteful number, since it uses less digits than its factorization.

122130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 122130 is about 349.4710288422. The cubic root of 122130 is about 49.6143667193.

Adding to 122130 its reverse (31221), we get a palindrome (153351).

Subtracting from 122130 its reverse (31221), we obtain a palindrome (90909).

It can be divided in two parts, 122 and 130, that added together give a palindrome (252).

The spelling of 122130 in words is "one hundred twenty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 59 69 90 115 118 138 177 207 230 295 345 354 414 531 590 690 885 1035 1062 1357 1770 2070 2655 2714 4071 5310 6785 8142 12213 13570 20355 24426 40710 61065 122130