120059730 has 96 divisors (see below), whose sum is σ = 359424000. Its totient is φ = 27236736.

The previous prime is 120059717. The next prime is 120059743. The reversal of 120059730 is 37950021.

It is an interprime number because it is at equal distance from previous prime (120059717) and next prime (120059743).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 120059694 and 120059703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93231 + ... + 94509.

It is an arithmetic number, because the mean of its divisors is an integer number (3744000).

Almost surely, 2^120059730 is an apocalyptic number.

120059730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120059730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179712000).

120059730 is an abundant number, since it is smaller than the sum of its proper divisors (239364270).

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

120059730 is a wasteful number, since it uses less digits than its factorization.

120059730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 120059730 is about 10957.1770999651. The cubic root of 120059730 is about 493.3242384290.

The spelling of 120059730 in words is "one hundred twenty million, fifty-nine thousand, seven hundred thirty".