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".