30222120 has 64 divisors (see below), whose sum is σ = 92790720. Its totient is φ = 7870464.

The previous prime is 30222109. The next prime is 30222131. The reversal of 30222120 is 2122203.

It is an interprime number because it is at equal distance from previous prime (30222109) and next prime (30222131).

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 = 30222096 and 30222105.

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, 2232 + ... + 8088.

It is an arithmetic number, because the mean of its divisors is an integer number (1449855).

Almost surely, 2^30222120 is an apocalyptic number.

30222120 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 30222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46395360).

30222120 is an abundant number, since it is smaller than the sum of its proper divisors (62568600).

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

30222120 is a wasteful number, since it uses less digits than its factorization.

30222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5914 (or 5910 counting only the distinct ones).

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

The square root of 30222120 is about 5497.4648702834. The cubic root of 30222120 is about 311.4882307018.

Adding to 30222120 its reverse (2122203), we get a palindrome (32344323).

It can be divided in two parts, 302 and 22120, that added together give a palindrome (22422).

The spelling of 30222120 in words is "thirty million, two hundred twenty-two thousand, one hundred twenty".