121558080 has 112 divisors (see below), whose sum is σ = 441106560. Its totient is φ = 27783168.

The previous prime is 121558079. The next prime is 121558091. The reversal of 121558080 is 80855121.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2325 + ... + 15764.

Almost surely, 2^121558080 is an apocalyptic number.

121558080 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 121558080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220553280).

121558080 is an abundant number, since it is smaller than the sum of its proper divisors (319548480).

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

121558080 is a wasteful number, since it uses less digits than its factorization.

121558080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18116 (or 18106 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 30.

The square root of 121558080 is about 11025.3380900542. The cubic root of 121558080 is about 495.3679949000.

It can be divided in two parts, 1215 and 58080, that added together give a palindrome (59295).

The spelling of 121558080 in words is "one hundred twenty-one million, five hundred fifty-eight thousand, eighty".