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122160 = 2435509
BaseRepresentation
bin11101110100110000
320012120110
4131310300
512402120
62341320
71016103
oct356460
9205513
10122160
1183865
125a840
13437ac
143273a
15262e0
hex1dd30

122160 has 40 divisors (see below), whose sum is σ = 379440. Its totient is φ = 32512.

The previous prime is 122149. The next prime is 122167. The reversal of 122160 is 61221.

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 (12).

It is not an unprimeable number, because it can be changed into a prime (122167) 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, 15 + ... + 494.

It is an arithmetic number, because the mean of its divisors is an integer number (9486).

2122160 is an apocalyptic number.

122160 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 122160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189720).

122160 is an abundant number, since it is smaller than the sum of its proper divisors (257280).

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

122160 is a wasteful number, since it uses less digits than its factorization.

122160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 122160 is about 349.5139482195. The cubic root of 122160 is about 49.6184288093.

Adding to 122160 its reverse (61221), we get a palindrome (183381).

It can be divided in two parts, 122 and 160, that added together give a palindrome (282).

The spelling of 122160 in words is "one hundred twenty-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 509 1018 1527 2036 2545 3054 4072 5090 6108 7635 8144 10180 12216 15270 20360 24432 30540 40720 61080 122160