305120000 has 90 divisors (see below), whose sum is σ = 761465628. Its totient is φ = 121984000.

The previous prime is 305119979. The next prime is 305120021. The reversal of 305120000 is 21503.

It is an interprime number because it is at equal distance from previous prime (305119979) and next prime (305120021).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 159047 + ... + 160953.

Almost surely, 2^305120000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380732814).

305120000 is an abundant number, since it is smaller than the sum of its proper divisors (456345628).

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

305120000 is an frugal number, since it uses more digits than its factorization.

305120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1943 (or 1914 counting only the distinct ones).

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

The square root of 305120000 is about 17467.6844487184. The cubic root of 305120000 is about 673.2198176989.

Adding to 305120000 its reverse (21503), we get a palindrome (305141503).

The spelling of 305120000 in words is "three hundred five million, one hundred twenty thousand".