120505014 has 72 divisors (see below), whose sum is σ = 305386848. Its totient is φ = 34241760.

The previous prime is 120505009. The next prime is 120505031. The reversal of 120505014 is 410505021.

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 279379 + ... + 279809.

It is an arithmetic number, because the mean of its divisors is an integer number (4241484).

Almost surely, 2^120505014 is an apocalyptic number.

120505014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120505014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152693424).

120505014 is an abundant number, since it is smaller than the sum of its proper divisors (184881834).

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

120505014 is a wasteful number, since it uses less digits than its factorization.

120505014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 120505014 is about 10977.4775791163. The cubic root of 120505014 is about 493.9333751603.

The spelling of 120505014 in words is "one hundred twenty million, five hundred five thousand, fourteen".