30001300120 has 128 divisors (see below), whose sum is σ = 78187602240. Its totient is φ = 10239344640.

The previous prime is 30001300099. The next prime is 30001300141. The reversal of 30001300120 is 2100310003.

It is an interprime number because it is at equal distance from previous prime (30001300099) and next prime (30001300141).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 30001300097 and 30001300106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2784664 + ... + 2795416.

Almost surely, 2^30001300120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30001300120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39093801120).

30001300120 is an abundant number, since it is smaller than the sum of its proper divisors (48186302120).

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

30001300120 is a wasteful number, since it uses less digits than its factorization.

30001300120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11165 (or 11161 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 30001300120 its reverse (2100310003), we get a palindrome (32101610123).

The spelling of 30001300120 in words is "thirty billion, one million, three hundred thousand, one hundred twenty".