30360120 has 128 divisors (see below), whose sum is σ = 106444800. Its totient is φ = 6782976.

The previous prime is 30360103. The next prime is 30360139. The reversal of 30360120 is 2106303.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30360120.

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, 39096 + ... + 39864.

It is an arithmetic number, because the mean of its divisors is an integer number (831600).

Almost surely, 2^30360120 is an apocalyptic number.

30360120 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 30360120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53222400).

30360120 is an abundant number, since it is smaller than the sum of its proper divisors (76084680).

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

30360120 is a wasteful number, since it uses less digits than its factorization.

30360120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 30360120 is about 5510.0018148817. The cubic root of 30360120 is about 311.9616159223.

Adding to 30360120 its reverse (2106303), we get a palindrome (32466423).

The spelling of 30360120 in words is "thirty million, three hundred sixty thousand, one hundred twenty".