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122000 = 245361
BaseRepresentation
bin11101110010010000
320012100112
4131302100
512401000
62340452
71015454
oct356220
9205315
10122000
118372a
125a728
13436b8
1432664
1526235
hex1dc90

122000 has 40 divisors (see below), whose sum is σ = 299832. Its totient is φ = 48000.

The previous prime is 121997. The next prime is 122011. The reversal of 122000 is 221.

It can be written as a sum of positive squares in 4 ways, for example, as 29584 + 92416 = 172^2 + 304^2 .

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 (5).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1970 + ... + 2030.

2122000 is an apocalyptic number.

122000 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 122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149916).

122000 is an abundant number, since it is smaller than the sum of its proper divisors (177832).

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

122000 is an equidigital number, since it uses as much as digits as its factorization.

122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 122000 is about 349.2849839315. The cubic root of 122000 is about 49.5967566384.

Adding to 122000 its reverse (221), we get a palindrome (122221).

The spelling of 122000 in words is "one hundred twenty-two thousand", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 16 20 25 40 50 61 80 100 122 125 200 244 250 305 400 488 500 610 976 1000 1220 1525 2000 2440 3050 4880 6100 7625 12200 15250 24400 30500 61000 122000