30112032000 has 288 divisors, whose sum is σ = 105906213504. Its totient is φ = 7557120000.

The previous prime is 30112031993. The next prime is 30112032047. The reversal of 30112032000 is 23021103.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1622775 + ... + 1641225.

It is an arithmetic number, because the mean of its divisors is an integer number (367729908).

Almost surely, 2^30112032000 is an apocalyptic number.

30112032000 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 30112032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52953106752).

30112032000 is an abundant number, since it is smaller than the sum of its proper divisors (75794181504).

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

30112032000 is a wasteful number, since it uses less digits than its factorization.

30112032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18502 (or 18478 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 30112032000 its reverse (23021103), we get a palindrome (30135053103).

The spelling of 30112032000 in words is "thirty billion, one hundred twelve million, thirty-two thousand".