30202120 has 48 divisors (see below), whose sum is σ = 73486980. Its totient is φ = 11105280.

The previous prime is 30202099. The next prime is 30202157. The reversal of 30202120 is 2120203.

It can be written as a sum of positive squares in 6 ways, for example, as 15038884 + 15163236 = 3878^2 + 3894^2 .

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 = 30202097 and 30202106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125200 + ... + 125440.

Almost surely, 2^30202120 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 30202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36743490).

30202120 is an abundant number, since it is smaller than the sum of its proper divisors (43284860).

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

30202120 is a wasteful number, since it uses less digits than its factorization.

30202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 30202120 is about 5495.6455489778. The cubic root of 30202120 is about 311.4195046679.

Adding to 30202120 its reverse (2120203), we get a palindrome (32322323).

The spelling of 30202120 in words is "thirty million, two hundred two thousand, one hundred twenty".