300222120 has 128 divisors (see below), whose sum is σ = 995328000. Its totient is φ = 71834880.

The previous prime is 300222077. The next prime is 300222121. The reversal of 300222120 is 21222003.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 300222096 and 300222105.

It is not an unprimeable number, because it can be changed into a prime (300222121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102841 + ... + 105719.

It is an arithmetic number, because the mean of its divisors is an integer number (7776000).

Almost surely, 2^300222120 is an apocalyptic number.

300222120 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 300222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497664000).

300222120 is an abundant number, since it is smaller than the sum of its proper divisors (695105880).

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

300222120 is a wasteful number, since it uses less digits than its factorization.

300222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2983 (or 2979 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 300222120 is about 17326.9189413467. The cubic root of 300222120 is about 669.5981253757.

Adding to 300222120 its reverse (21222003), we get a palindrome (321444123).

The spelling of 300222120 in words is "three hundred million, two hundred twenty-two thousand, one hundred twenty".