122550 has 48 divisors (see below), whose sum is σ = 327360. Its totient is φ = 30240.

The previous prime is 122533. The next prime is 122557. The reversal of 122550 is 55221.

122550 is nontrivially palindromic in base 7.

122550 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122557) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2829 + ... + 2871.

It is an arithmetic number, because the mean of its divisors is an integer number (6820).

2¹²²⁵⁵⁰ is an apocalyptic number.

122550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163680).

122550 is an abundant number, since it is smaller than the sum of its proper divisors (204810).

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

122550 is a wasteful number, since it uses less digits than its factorization.

122550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 122550 is about 350.0714212843. The cubic root of 122550 is about 49.6711755637.

Adding to 122550 its reverse (55221), we get a palindrome (177771).

It can be divided in two parts, 1225 and 50, that added together give a triangular number (1275 = T₅₀).

The spelling of 122550 in words is "one hundred twenty-two thousand, five hundred fifty".