121312080 has 200 divisors, whose sum is σ = 427884072. Its totient is φ = 31850496.

The previous prime is 121312069. The next prime is 121312109. The reversal of 121312080 is 80213121.

It can be written as a sum of positive squares in 4 ways, for example, as 3111696 + 118200384 = 1764^2 + 10872^2 .

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

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 628464 + ... + 628656.

Almost surely, 2^121312080 is an apocalyptic number.

121312080 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 121312080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213942036).

121312080 is an abundant number, since it is smaller than the sum of its proper divisors (306571992).

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

121312080 is a wasteful number, since it uses less digits than its factorization.

121312080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 300 counting only the distinct ones).

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

The square root of 121312080 is about 11014.1763196346. The cubic root of 121312080 is about 495.0336065338.

The spelling of 121312080 in words is "one hundred twenty-one million, three hundred twelve thousand, eighty".