121435032 has 64 divisors (see below), whose sum is σ = 318816000. Its totient is φ = 38470784.

The previous prime is 121435007. The next prime is 121435037. The reversal of 121435032 is 230534121.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121435037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98194 + ... + 99422.

It is an arithmetic number, because the mean of its divisors is an integer number (4981500).

Almost surely, 2^121435032 is an apocalyptic number.

121435032 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 121435032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159408000).

121435032 is an abundant number, since it is smaller than the sum of its proper divisors (197380968).

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

121435032 is a wasteful number, since it uses less digits than its factorization.

121435032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 121435032 is about 11019.7564401397. The cubic root of 121435032 is about 495.2007919200.

Adding to 121435032 its reverse (230534121), we get a palindrome (351969153).

The spelling of 121435032 in words is "one hundred twenty-one million, four hundred thirty-five thousand, thirty-two".