30211120800 has 648 divisors, whose sum is σ = 127113176736. Its totient is φ = 6859054080.

The previous prime is 30211120799. The next prime is 30211120843. The reversal of 30211120800 is 802111203.

It is a tau number, because it is divible by the number of its divisors (648).

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 202759126 + ... + 202759274.

Almost surely, 2^30211120800 is an apocalyptic number.

30211120800 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 30211120800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63556588368).

30211120800 is an abundant number, since it is smaller than the sum of its proper divisors (96902055936).

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

30211120800 is an equidigital number, since it uses as much as digits as its factorization.

30211120800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The spelling of 30211120800 in words is "thirty billion, two hundred eleven million, one hundred twenty thousand, eight hundred".