121132314 has 48 divisors (see below), whose sum is σ = 278903040. Its totient is φ = 38929680.

The previous prime is 121132307. The next prime is 121132321. The reversal of 121132314 is 413231121.

It is an interprime number because it is at equal distance from previous prime (121132307) and next prime (121132321).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 450172 + ... + 450440.

It is an arithmetic number, because the mean of its divisors is an integer number (5810480).

Almost surely, 2^121132314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121132314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139451520).

121132314 is an abundant number, since it is smaller than the sum of its proper divisors (157770726).

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

121132314 is an equidigital number, since it uses as much as digits as its factorization.

121132314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 305 counting only the distinct ones).

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

The square root of 121132314 is about 11006.0126294676. The cubic root of 121132314 is about 494.7889642190.

Adding to 121132314 its reverse (413231121), we get a palindrome (534363435).

The spelling of 121132314 in words is "one hundred twenty-one million, one hundred thirty-two thousand, three hundred fourteen".