122250 has 32 divisors (see below), whose sum is σ = 307008. Its totient is φ = 32400.

The previous prime is 122231. The next prime is 122251. The reversal of 122250 is 52221.

It is not an unprimeable number, because it can be changed into a prime (122251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 669 + ... + 831.

It is an arithmetic number, because the mean of its divisors is an integer number (9594).

2¹²²²⁵⁰ is an apocalyptic number.

122250 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 122250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153504).

122250 is an abundant number, since it is smaller than the sum of its proper divisors (184758).

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

122250 is a wasteful number, since it uses less digits than its factorization.

122250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 122250 is about 349.6426747409. The cubic root of 122250 is about 49.6306110903.

Adding to 122250 its reverse (52221), we get a palindrome (174471).

It can be divided in two parts, 12 and 2250, that multiplied together give a cube (27000 = 30³).

The spelling of 122250 in words is "one hundred twenty-two thousand, two hundred fifty".