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122500 = 225472
BaseRepresentation
bin11101111010000100
320020001001
4131322010
512410000
62343044
71020100
oct357204
9206031
10122500
1184044
125aa84
13439b1
1432900
152646a
hex1de84

122500 has 45 divisors (see below), whose sum is σ = 311619. Its totient is φ = 42000.

The previous prime is 122497. The next prime is 122501. The reversal of 122500 is 5221.

122500 = T349 + T350.

The square root of 122500 is 350.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 9604 + 112896 = 98^2 + 336^2 .

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

It is not an unprimeable number, because it can be changed into a prime (122501) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 17497 + ... + 17503.

2122500 is an apocalyptic number.

122500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122500 is the 350-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122500

122500 is an abundant number, since it is smaller than the sum of its proper divisors (189119).

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

122500 is an equidigital number, since it uses as much as digits as its factorization.

122500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The cubic root of 122500 is about 49.6644194190.

Adding to 122500 its reverse (5221), we get a palindrome (127721).

The spelling of 122500 in words is "one hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 125 140 175 196 245 250 350 490 500 625 700 875 980 1225 1250 1750 2450 2500 3500 4375 4900 6125 8750 12250 17500 24500 30625 61250 122500