3000120032 has 96 divisors (see below), whose sum is σ = 7283908800. Its totient is φ = 1184514048.

The previous prime is 3000119987. The next prime is 3000120041. The reversal of 3000120032 is 2300210003.

It is a junction number, because it is equal to n+sod(n) for n = 3000119995 and 3000120022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2704694 + ... + 2705802.

It is an arithmetic number, because the mean of its divisors is an integer number (75874050).

Almost surely, 2^3000120032 is an apocalyptic number.

3000120032 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 3000120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3641954400).

3000120032 is an abundant number, since it is smaller than the sum of its proper divisors (4283788768).

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

3000120032 is a wasteful number, since it uses less digits than its factorization.

3000120032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2068 (or 2060 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 3000120032 is about 54773.3514767902. The cubic root of 3000120032 is about 1442.2688051731.

Adding to 3000120032 its reverse (2300210003), we get a palindrome (5300330035).

The spelling of 3000120032 in words is "three billion, one hundred twenty thousand, thirty-two".