121306080 has 192 divisors, whose sum is σ = 443197440. Its totient is φ = 27316224.

The previous prime is 121306079. The next prime is 121306103. The reversal of 121306080 is 80603121.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265212 + ... + 265668.

It is an arithmetic number, because the mean of its divisors is an integer number (2308320).

Almost surely, 2^121306080 is an apocalyptic number.

121306080 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 121306080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221598720).

121306080 is an abundant number, since it is smaller than the sum of its proper divisors (321891360).

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

121306080 is a wasteful number, since it uses less digits than its factorization.

121306080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 121306080 is about 11013.9039400205. The cubic root of 121306080 is about 495.0254450750.

The spelling of 121306080 in words is "one hundred twenty-one million, three hundred six thousand, eighty".