121312 has 24 divisors (see below), whose sum is σ = 254016. Its totient is φ = 56832.

The previous prime is 121309. The next prime is 121313. The reversal of 121312 is 213121.

It is a plaindrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121313) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 433 + ... + 655.

It is an arithmetic number, because the mean of its divisors is an integer number (10584).

2¹²¹³¹² 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 121312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127008).

121312 is an abundant number, since it is smaller than the sum of its proper divisors (132704).

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

121312 is a wasteful number, since it uses less digits than its factorization.

121312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 242 counting only the distinct ones).

The product of its digits is 12, while the sum is 10.

The square root of 121312 is about 348.2987223634. The cubic root of 121312 is about 49.5033497716.

Adding to 121312 its reverse (213121), we get a palindrome (334433).

Subtracting 121312 from its reverse (213121), we obtain a square (91809 = 303²).

It can be divided in two parts, 1213 and 12, that added together give a triangular number (1225 = T₄₉).

The spelling of 121312 in words is "one hundred twenty-one thousand, three hundred twelve", and thus it is an iban number.