121135252 has 30 divisors (see below), whose sum is σ = 247322698. Its totient is φ = 51910992.

The previous prime is 121135247. The next prime is 121135253. The reversal of 121135252 is 252531121.

It can be written as a sum of positive squares in only one way, i.e., 99920016 + 21215236 = 9996^2 + 4606^2 .

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121135253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3298 + ... + 15910.

Almost surely, 2^121135252 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 121135252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123661349).

121135252 is an abundant number, since it is smaller than the sum of its proper divisors (126187446).

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

121135252 is an equidigital number, since it uses as much as digits as its factorization.

121135252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12645 (or 12622 counting only the distinct ones).

The product of its digits is 600, while the sum is 22.

The square root of 121135252 is about 11006.1461011564. The cubic root of 121135252 is about 494.7929644679.

Adding to 121135252 its reverse (252531121), we get a palindrome (373666373).

It can be divided in two parts, 1211 and 35252, that added together give a palindrome (36463).

The spelling of 121135252 in words is "one hundred twenty-one million, one hundred thirty-five thousand, two hundred fifty-two".