30123120 has 80 divisors (see below), whose sum is σ = 93913632. Its totient is φ = 7987200.

The previous prime is 30123109. The next prime is 30123139. The reversal of 30123120 is 2132103.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 30123096 and 30123105.

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, 74920 + ... + 75320.

Almost surely, 2^30123120 is an apocalyptic number.

30123120 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 30123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46956816).

30123120 is an abundant number, since it is smaller than the sum of its proper divisors (63790512).

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

30123120 is a wasteful number, since it uses less digits than its factorization.

30123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 724 counting only the distinct ones).

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

The square root of 30123120 is about 5488.4533340459. The cubic root of 30123120 is about 311.1477398294.

Adding to 30123120 its reverse (2132103), we get a palindrome (32255223).

The spelling of 30123120 in words is "thirty million, one hundred twenty-three thousand, one hundred twenty".