1200005300 has 72 divisors (see below), whose sum is σ = 2869670496. Its totient is φ = 432754560.

The previous prime is 1200005267. The next prime is 1200005327. The reversal of 1200005300 is 35000021.

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, 45167 + ... + 66633.

Almost surely, 2^1200005300 is an apocalyptic number.

1200005300 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 1200005300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434835248).

1200005300 is an abundant number, since it is smaller than the sum of its proper divisors (1669665196).

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

1200005300 is a wasteful number, since it uses less digits than its factorization.

1200005300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21537 (or 21530 counting only the distinct ones).

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

The square root of 1200005300 is about 34641.0926502037. The cubic root of 1200005300 is about 1062.6601336499.

Adding to 1200005300 its reverse (35000021), we get a palindrome (1235005321).

The spelling of 1200005300 in words is "one billion, two hundred million, five thousand, three hundred".