30005311200 has 144 divisors (see below), whose sum is σ = 98208308016. Its totient is φ = 7957094400.

The previous prime is 30005311199. The next prime is 30005311201. The reversal of 30005311200 is 211350003.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30005311199) and next prime (30005311201).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30005311200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30005311201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 399864 + ... + 468936.

It is an arithmetic number, because the mean of its divisors is an integer number (682002139).

Almost surely, 2^30005311200 is an apocalyptic number.

30005311200 is a gapful number since it is divisible by the number (30) 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 30005311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49104154008).

30005311200 is an abundant number, since it is smaller than the sum of its proper divisors (68202996816).

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

30005311200 is a wasteful number, since it uses less digits than its factorization.

30005311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69277 (or 69264 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

Adding to 30005311200 its reverse (211350003), we get a palindrome (30216661203).

The spelling of 30005311200 in words is "thirty billion, five million, three hundred eleven thousand, two hundred".