30172111200 has 720 divisors, whose sum is σ = 137205218304. Its totient is φ = 6268492800.

The previous prime is 30172111157. The next prime is 30172111219. The reversal of 30172111200 is 211127103.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4986577 + ... + 4992623.

Almost surely, 2^30172111200 is an apocalyptic number.

30172111200 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 30172111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68602609152).

30172111200 is an abundant number, since it is smaller than the sum of its proper divisors (107033107104).

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

30172111200 is a wasteful number, since it uses less digits than its factorization.

30172111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6097 (or 6075 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

Adding to 30172111200 its reverse (211127103), we get a palindrome (30383238303).

The spelling of 30172111200 in words is "thirty billion, one hundred seventy-two million, one hundred eleven thousand, two hundred".