121568832 has 168 divisors, whose sum is σ = 434596032. Its totient is φ = 31564800.

The previous prime is 121568809. The next prime is 121568833. The reversal of 121568832 is 238865121.

It is a happy number.

121568832 is a `hidden beast` number, since 12 + 1 + 568 + 83 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121568833) 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, 42982 + ... + 45722.

Almost surely, 2^121568832 is an apocalyptic number.

121568832 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 121568832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217298016).

121568832 is an abundant number, since it is smaller than the sum of its proper divisors (313027200).

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

121568832 is a wasteful number, since it uses less digits than its factorization.

121568832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2777 (or 2764 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 121568832 is about 11025.8256833672. The cubic root of 121568832 is about 495.3825998242.

The spelling of 121568832 in words is "one hundred twenty-one million, five hundred sixty-eight thousand, eight hundred thirty-two".