120267360 has 144 divisors (see below), whose sum is σ = 419380416. Its totient is φ = 31371264.

The previous prime is 120267347. The next prime is 120267409. The reversal of 120267360 is 63762021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 66792 + ... + 68568.

It is an arithmetic number, because the mean of its divisors is an integer number (2912364).

Almost surely, 2^120267360 is an apocalyptic number.

120267360 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 120267360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209690208).

120267360 is an abundant number, since it is smaller than the sum of its proper divisors (299113056).

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

120267360 is a wasteful number, since it uses less digits than its factorization.

120267360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1845 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 120267360 is about 10966.6476190311. The cubic root of 120267360 is about 493.6084578527.

The spelling of 120267360 in words is "one hundred twenty million, two hundred sixty-seven thousand, three hundred sixty".