121132080 has 120 divisors (see below), whose sum is σ = 417888432. Its totient is φ = 31421952.

The previous prime is 121132079. The next prime is 121132127. The reversal of 121132080 is 80231121.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 24367 + ... + 28913.

Almost surely, 2^121132080 is an apocalyptic number.

121132080 is a gapful number since it is divisible by the number (10) 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 121132080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208944216).

121132080 is an abundant number, since it is smaller than the sum of its proper divisors (296756352).

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

121132080 is a wasteful number, since it uses less digits than its factorization.

121132080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4603 (or 4594 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 121132080 is about 11006.0019989095. The cubic root of 121132080 is about 494.7886456123.

The spelling of 121132080 in words is "one hundred twenty-one million, one hundred thirty-two thousand, eighty".