120880000 has 80 divisors (see below), whose sum is σ = 301122360. Its totient is φ = 48320000.

The previous prime is 120879991. The next prime is 120880003. The reversal of 120880000 is 88021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×120880000² = 29223948800000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 120880000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120880003) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 79245 + ... + 80755.

Almost surely, 2^120880000 is an apocalyptic number.

120880000 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 120880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150561180).

120880000 is an abundant number, since it is smaller than the sum of its proper divisors (180242360).

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

120880000 is an frugal number, since it uses more digits than its factorization.

120880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 120880000 is about 10994.5441015078. The cubic root of 120880000 is about 494.4451832202.

The spelling of 120880000 in words is "one hundred twenty million, eight hundred eighty thousand".