120869280 has 288 divisors, whose sum is σ = 492972480. Its totient is φ = 27578880.

The previous prime is 120869267. The next prime is 120869291. The reversal of 120869280 is 82968021.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 211395 + ... + 211965.

It is an arithmetic number, because the mean of its divisors is an integer number (1711710).

Almost surely, 2^120869280 is an apocalyptic number.

120869280 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 120869280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246486240).

120869280 is an abundant number, since it is smaller than the sum of its proper divisors (372103200).

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

120869280 is a wasteful number, since it uses less digits than its factorization.

120869280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 120869280 is about 10994.0565761688. The cubic root of 120869280 is about 494.4305664955.

The spelling of 120869280 in words is "one hundred twenty million, eight hundred sixty-nine thousand, two hundred eighty".