121589104 has 120 divisors (see below), whose sum is σ = 302876448. Its totient is φ = 46033920.

The previous prime is 121589101. The next prime is 121589119. The reversal of 121589104 is 401985121.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121589101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1993234 + ... + 1993294.

Almost surely, 2^121589104 is an apocalyptic number.

121589104 is a gapful number since it is divisible by the number (14) 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 121589104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151438224).

121589104 is an abundant number, since it is smaller than the sum of its proper divisors (181287344).

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

121589104 is a wasteful number, since it uses less digits than its factorization.

121589104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 31.

The square root of 121589104 is about 11026.7449412780. The cubic root of 121589104 is about 495.4101338496.

The spelling of 121589104 in words is "one hundred twenty-one million, five hundred eighty-nine thousand, one hundred four".