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122368 = 29239
BaseRepresentation
bin11101111000000000
320012212011
4131320000
512403433
62342304
71016521
oct357000
9205764
10122368
1183a34
125a994
134390c
1432848
15263cd
hex1de00

122368 has 20 divisors (see below), whose sum is σ = 245520. Its totient is φ = 60928.

The previous prime is 122363. The next prime is 122387. The reversal of 122368 is 863221.

Adding to 122368 its reverse (863221), we get a palindrome (985589).

Together with 123152 it forms an amicable pair .

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 393 + ... + 631.

It is an arithmetic number, because the mean of its divisors is an integer number (12276).

2122368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122760).

122368 is an abundant number, since it is smaller than the sum of its proper divisors (123152).

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

122368 is an frugal number, since it uses more digits than its factorization.

122368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 241 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

The square root of 122368 is about 349.8113777452. The cubic root of 122368 is about 49.6465743592.

The spelling of 122368 in words is "one hundred twenty-two thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 239 256 478 512 956 1912 3824 7648 15296 30592 61184 122368