30032131359120 has 480 divisors, whose sum is σ = 102845642457600. Its totient is φ = 7244101201920.

The previous prime is 30032131359107. The next prime is 30032131359121. The reversal of 30032131359120 is 2195313123003.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (30032131359121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6117767226 + ... + 6117772134.

It is an arithmetic number, because the mean of its divisors is an integer number (214261755120).

Almost surely, 2^{30032131359120} is an apocalyptic number.

30032131359120 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 30032131359120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51422821228800).

30032131359120 is an abundant number, since it is smaller than the sum of its proper divisors (72813511098480).

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

30032131359120 is a wasteful number, since it uses less digits than its factorization.

30032131359120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5959 (or 5942 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 33.

The spelling of 30032131359120 in words is "thirty trillion, thirty-two billion, one hundred thirty-one million, three hundred fifty-nine thousand, one hundred twenty".