121352 has 32 divisors (see below), whose sum is σ = 285120. Its totient is φ = 47040.

The previous prime is 121351. The next prime is 121357. The reversal of 121352 is 253121.

It is a happy number.

121352 is nontrivially palindromic in base 15.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (121351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 518 + ... + 714.

It is an arithmetic number, because the mean of its divisors is an integer number (8910).

2¹²¹³⁵² 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 121352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142560).

121352 is an abundant number, since it is smaller than the sum of its proper divisors (163768).

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

121352 is a wasteful number, since it uses less digits than its factorization.

121352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 217 counting only the distinct ones).

The product of its digits is 60, while the sum is 14.

The square root of 121352 is about 348.3561396043. The cubic root of 121352 is about 49.5087900589.

121352 divided by its sum of digits (14) gives a palindrome (8668).

Adding to 121352 its reverse (253121), we get a palindrome (374473).

Subtracting 121352 from its reverse (253121), we obtain a square (131769 = 363²).

The spelling of 121352 in words is "one hundred twenty-one thousand, three hundred fifty-two".