120467088 has 200 divisors, whose sum is σ = 408108800. Its totient is φ = 34292160.

The previous prime is 120467057. The next prime is 120467093. The reversal of 120467088 is 880764021.

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 (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 444393 + ... + 444663.

It is an arithmetic number, because the mean of its divisors is an integer number (2040544).

Almost surely, 2^120467088 is an apocalyptic number.

120467088 is a gapful number since it is divisible by the number (18) 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 120467088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204054400).

120467088 is an abundant number, since it is smaller than the sum of its proper divisors (287641712).

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

120467088 is an equidigital number, since it uses as much as digits as its factorization.

120467088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 120467088 is about 10975.7499971528. The cubic root of 120467088 is about 493.8815519149.

The spelling of 120467088 in words is "one hundred twenty million, four hundred sixty-seven thousand, eighty-eight".