30002011443200 has 156 divisors (see below), whose sum is σ = 74410164672708. Its totient is φ = 11998504550400.

The previous prime is 30002011443167. The next prime is 30002011443227. The reversal of 30002011443200 is 234411020003.

It can be written as a sum of positive squares in 6 ways, for example, as 1434782334976 + 28567229108224 = 1197824^2 + 5344832^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 596045234 + ... + 596095566.

Almost surely, 2^{30002011443200} 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 30002011443200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37205082336354).

30002011443200 is an abundant number, since it is smaller than the sum of its proper divisors (44408153229508).

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

30002011443200 is an equidigital number, since it uses as much as digits as its factorization.

30002011443200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56188 (or 56161 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 30002011443200 its reverse (234411020003), we get a palindrome (30236422463203).

The spelling of 30002011443200 in words is "thirty trillion, two billion, eleven million, four hundred forty-three thousand, two hundred".