121504032 has 288 divisors, whose sum is σ = 416078208. Its totient is φ = 33251328.

The previous prime is 121504021. The next prime is 121504039. The reversal of 121504032 is 230405121.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 121503996 and 121504014.

It is not an unprimeable number, because it can be changed into a prime (121504039) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1463863 + ... + 1463945.

It is an arithmetic number, because the mean of its divisors is an integer number (1444716).

Almost surely, 2^121504032 is an apocalyptic number.

121504032 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 121504032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208039104).

121504032 is an abundant number, since it is smaller than the sum of its proper divisors (294574176).

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

121504032 is a wasteful number, since it uses less digits than its factorization.

121504032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 121504032 is about 11022.8867362411. The cubic root of 121504032 is about 495.2945660270.

Adding to 121504032 its reverse (230405121), we get a palindrome (351909153).

The spelling of 121504032 in words is "one hundred twenty-one million, five hundred four thousand, thirty-two".