30132120 has 64 divisors (see below), whose sum is σ = 90810720. Its totient is φ = 7998464.

The previous prime is 30132103. The next prime is 30132149. The reversal of 30132120 is 2123103.

It is a happy number.

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 = 30132096 and 30132105.

It is a congruent number.

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, 34732 + ... + 35588.

Almost surely, 2^30132120 is an apocalyptic number.

30132120 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 30132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45405360).

30132120 is an abundant number, since it is smaller than the sum of its proper divisors (60678600).

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

30132120 is a wasteful number, since it uses less digits than its factorization.

30132120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 30132120 is about 5489.2731759314. The cubic root of 30132120 is about 311.1787243447.

Adding to 30132120 its reverse (2123103), we get a palindrome (32255223).

The spelling of 30132120 in words is "thirty million, one hundred thirty-two thousand, one hundred twenty".