3020130112032 has 288 divisors, whose sum is σ = 9699452642880. Its totient is φ = 913570099200.

The previous prime is 3020130111979. The next prime is 3020130112073. The reversal of 3020130112032 is 2302110310203.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 3020130111996 and 3020130112014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59669328 + ... + 59719920.

It is an arithmetic number, because the mean of its divisors is an integer number (33678655010).

Almost surely, 2^{3020130112032} is an apocalyptic number.

3020130112032 is a gapful number since it is divisible by the number (32) 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 3020130112032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4849726321440).

3020130112032 is an abundant number, since it is smaller than the sum of its proper divisors (6679322530848).

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

3020130112032 is a wasteful number, since it uses less digits than its factorization.

3020130112032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51205 (or 51180 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 3020130112032 its reverse (2302110310203), we get a palindrome (5322240422235).

The spelling of 3020130112032 in words is "three trillion, twenty billion, one hundred thirty million, one hundred twelve thousand, thirty-two".