121181312 has 72 divisors (see below), whose sum is σ = 282865635. Its totient is φ = 51561216.

The previous prime is 121181311. The next prime is 121181323. The reversal of 121181312 is 213181121.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 60590656 + 60590656 = 7784^2 + 7784^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=7784.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121181311) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 871739 + ... + 871877.

Almost surely, 2^121181312 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 121181312

121181312 is an abundant number, since it is smaller than the sum of its proper divisors (161684323).

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

121181312 is an frugal number, since it uses more digits than its factorization.

121181312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 148 counting only the distinct ones).

The product of its digits is 96, while the sum is 20.

The square root of 121181312 is about 11008.2383695122. The cubic root of 121181312 is about 494.8556692425.

The spelling of 121181312 in words is "one hundred twenty-one million, one hundred eighty-one thousand, three hundred twelve".