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122056 = 23111973
BaseRepresentation
bin11101110011001000
320012102121
4131303020
512401211
62341024
71015564
oct356310
9205377
10122056
1183780
125a774
134372c
14326a4
1526271
hex1dcc8

122056 has 32 divisors (see below), whose sum is σ = 266400. Its totient is φ = 51840.

The previous prime is 122053. The next prime is 122069. The reversal of 122056 is 650221.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (122051) 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, 1636 + ... + 1708.

It is an arithmetic number, because the mean of its divisors is an integer number (8325).

2122056 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 122056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133200).

122056 is an abundant number, since it is smaller than the sum of its proper divisors (144344).

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

122056 is a wasteful number, since it uses less digits than its factorization.

122056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 122056 is about 349.3651385013. The cubic root of 122056 is about 49.6043440524.

Adding to 122056 its reverse (650221), we get a palindrome (772277).

The spelling of 122056 in words is "one hundred twenty-two thousand, fifty-six".

Divisors: 1 2 4 8 11 19 22 38 44 73 76 88 146 152 209 292 418 584 803 836 1387 1606 1672 2774 3212 5548 6424 11096 15257 30514 61028 122056