120005300 has 72 divisors (see below), whose sum is σ = 268649472. Its totient is φ = 46512000.

The previous prime is 120005299. The next prime is 120005317. The reversal of 120005300 is 3500021.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 628205 + ... + 628395.

Almost surely, 2^120005300 is an apocalyptic number.

120005300 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 120005300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134324736).

120005300 is an abundant number, since it is smaller than the sum of its proper divisors (148644172).

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

120005300 is a wasteful number, since it uses less digits than its factorization.

120005300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 120005300 is about 10954.6930582285. The cubic root of 120005300 is about 493.2496763836.

Adding to 120005300 its reverse (3500021), we get a palindrome (123505321).

The spelling of 120005300 in words is "one hundred twenty million, five thousand, three hundred".