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122320 = 24511139
BaseRepresentation
bin11101110111010000
320012210101
4131313100
512403240
62342144
71016422
oct356720
9205711
10122320
11839a0
125a954
13438a3
1432812
152639a
hex1ddd0

122320 has 40 divisors (see below), whose sum is σ = 312480. Its totient is φ = 44160.

The previous prime is 122299. The next prime is 122321. The reversal of 122320 is 23221.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 122297 and 122306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122321) 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, 811 + ... + 949.

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

2122320 is an apocalyptic number.

122320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156240).

122320 is an abundant number, since it is smaller than the sum of its proper divisors (190160).

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

122320 is a wasteful number, since it uses less digits than its factorization.

122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 122320 is about 349.7427626128. The cubic root of 122320 is about 49.6400820648.

Adding to 122320 its reverse (23221), we get a palindrome (145541).

Subtracting from 122320 its reverse (23221), we obtain a palindrome (99099).

It can be divided in two parts, 12 and 2320, that added together give a palindrome (2332).

The spelling of 122320 in words is "one hundred twenty-two thousand, three hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 139 176 220 278 440 556 695 880 1112 1390 1529 2224 2780 3058 5560 6116 7645 11120 12232 15290 24464 30580 61160 122320