121342032 has 180 divisors, whose sum is σ = 409343220. Its totient is φ = 33417216.

The previous prime is 121342031. The next prime is 121342049. The reversal of 121342032 is 230243121.

121342032 is a `hidden beast` number, since 1 + 213 + 420 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 69155856 + 52186176 = 8316^2 + 7224^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 121341996 and 121342014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121342031) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 204328 + ... + 204920.

It is an arithmetic number, because the mean of its divisors is an integer number (2274129).

Almost surely, 2^121342032 is an apocalyptic number.

121342032 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 121342032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204671610).

121342032 is an abundant number, since it is smaller than the sum of its proper divisors (288001188).

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

121342032 is a wasteful number, since it uses less digits than its factorization.

121342032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 121342032 is about 11015.5359379378. The cubic root of 121342032 is about 495.0743445116.

Adding to 121342032 its reverse (230243121), we get a palindrome (351585153).

The spelling of 121342032 in words is "one hundred twenty-one million, three hundred forty-two thousand, thirty-two".