122512 has 40 divisors (see below), whose sum is σ = 277760. Its totient is φ = 51840.

The previous prime is 122509. The next prime is 122527. The reversal of 122512 is 215221.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 122492 and 122501.

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, 3937 + ... + 3967.

It is an arithmetic number, because the mean of its divisors is an integer number (6944).

2¹²²⁵¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138880).

122512 is an abundant number, since it is smaller than the sum of its proper divisors (155248).

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

122512 is a wasteful number, since it uses less digits than its factorization.

122512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 65 counting only the distinct ones).

The product of its digits is 40, while the sum is 13.

The square root of 122512 is about 350.0171424373. The cubic root of 122512 is about 49.6660410613. Note that the first 3 decimals are identical.

Adding to 122512 its reverse (215221), we get a palindrome (337733).

The spelling of 122512 in words is "one hundred twenty-two thousand, five hundred twelve".