121856832 has 112 divisors (see below), whose sum is σ = 362427520. Its totient is φ = 40144896.

The previous prime is 121856821. The next prime is 121856837. The reversal of 121856832 is 238658121.

It is a happy number.

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 (121856837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167253 + ... + 167979.

It is an arithmetic number, because the mean of its divisors is an integer number (3235960).

Almost surely, 2^121856832 is an apocalyptic number.

121856832 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 121856832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181213760).

121856832 is an abundant number, since it is smaller than the sum of its proper divisors (240570688).

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

121856832 is an equidigital number, since it uses as much as digits as its factorization.

121856832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 829 counting only the distinct ones).

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

The square root of 121856832 is about 11038.8782038756. The cubic root of 121856832 is about 495.7734831102.

The spelling of 121856832 in words is "one hundred twenty-one million, eight hundred fifty-six thousand, eight hundred thirty-two".