121133312 has 36 divisors (see below), whose sum is σ = 245788956. Its totient is φ = 59566080.

The previous prime is 121133293. The next prime is 121133317. The reversal of 121133312 is 213331121.

It can be written as a sum of positive squares in 2 ways, for example, as 45373696 + 75759616 = 6736^2 + 8704^2 .

It is not an unprimeable number, because it can be changed into a prime (121133317) 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, 11738 + ... + 19494.

It is an arithmetic number, because the mean of its divisors is an integer number (6827471).

Almost surely, 2^121133312 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 121133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122894478).

121133312 is an abundant number, since it is smaller than the sum of its proper divisors (124655644).

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

121133312 is an frugal number, since it uses more digits than its factorization.

121133312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7834 (or 7820 counting only the distinct ones).

The product of its digits is 108, while the sum is 17.

The square root of 121133312 is about 11006.0579682282. The cubic root of 121133312 is about 494.7903230583.

Adding to 121133312 its reverse (213331121), we get a palindrome (334464433).

The spelling of 121133312 in words is "one hundred twenty-one million, one hundred thirty-three thousand, three hundred twelve".