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122240 = 275191
BaseRepresentation
bin11101110110000000
320012200102
4131312000
512402430
62341532
71016246
oct356600
9205612
10122240
1183928
125a8a8
1343841
1432796
1526345
hex1dd80

122240 has 32 divisors (see below), whose sum is σ = 293760. Its totient is φ = 48640.

The previous prime is 122231. The next prime is 122251. The reversal of 122240 is 42221.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

122240 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 545 + ... + 735.

It is an arithmetic number, because the mean of its divisors is an integer number (9180).

2122240 is an apocalyptic number.

122240 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 122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146880).

122240 is an abundant number, since it is smaller than the sum of its proper divisors (171520).

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

122240 is an equidigital number, since it uses as much as digits as its factorization.

122240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 122240 is about 349.6283741346. The cubic root of 122240 is about 49.6292577989.

Adding to 122240 its reverse (42221), we get a palindrome (164461).

The spelling of 122240 in words is "one hundred twenty-two thousand, two hundred forty", and thus it is an iban number.