121413312 has 84 divisors (see below), whose sum is σ = 351623376. Its totient is φ = 40051200.

The previous prime is 121413311. The next prime is 121413323. The reversal of 121413312 is 213314121.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (121413311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57133 + ... + 59219.

Almost surely, 2^121413312 is an apocalyptic number.

121413312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121413312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175811688).

121413312 is an abundant number, since it is smaller than the sum of its proper divisors (230210064).

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

121413312 is a wasteful number, since it uses less digits than its factorization.

121413312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2206 (or 2193 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 121413312 is about 11018.7708933438. The cubic root of 121413312 is about 495.1712661114.

Adding to 121413312 its reverse (213314121), we get a palindrome (334727433).

The spelling of 121413312 in words is "one hundred twenty-one million, four hundred thirteen thousand, three hundred twelve".