30067200000 has 780 divisors, whose sum is σ = 116138386980. Its totient is φ = 7741440000.

The previous prime is 30067199959. The next prime is 30067200001. The reversal of 30067200000 is 276003.

It can be written as a sum of positive squares in 6 ways, for example, as 24546115584 + 5521084416 = 156672^2 + 74304^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30067200001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1036799986 + ... + 1036800014.

Almost surely, 2^30067200000 is an apocalyptic number.

30067200000 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 30067200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58069193490).

30067200000 is an abundant number, since it is smaller than the sum of its proper divisors (86071186980).

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

30067200000 is an frugal number, since it uses more digits than its factorization.

30067200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

Adding to 30067200000 its reverse (276003), we get a palindrome (30067476003).

The spelling of 30067200000 in words is "thirty billion, sixty-seven million, two hundred thousand".