305140213120 has 64 divisors (see below), whose sum is σ = 744996657600. Its totient is φ = 119459135488.

The previous prime is 305140213093. The next prime is 305140213127. The reversal of 305140213120 is 21312041503.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×305140213120² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 305140213091 and 305140213100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305140213127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5042065 + ... + 5102224.

It is an arithmetic number, because the mean of its divisors is an integer number (11640572775).

Almost surely, 2^305140213120 is an apocalyptic number.

It is an amenable number.

305140213120 is an abundant number, since it is smaller than the sum of its proper divisors (439856444480).

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

305140213120 is a wasteful number, since it uses less digits than its factorization.

305140213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10144355 (or 10144343 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 305140213120 its reverse (21312041503), we get a palindrome (326452254623).

The spelling of 305140213120 in words is "three hundred five billion, one hundred forty million, two hundred thirteen thousand, one hundred twenty".