30129120 has 288 divisors, whose sum is σ = 121867200. Its totient is φ = 6773760.

The previous prime is 30129109. The next prime is 30129133. The reversal of 30129120 is 2192103.

It is a happy number.

It is a Cunningham number, because it is equal to 5489²-1.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30129093 and 30129102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 493890 + ... + 493950.

It is an arithmetic number, because the mean of its divisors is an integer number (423150).

Almost surely, 2^30129120 is an apocalyptic number.

30129120 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 30129120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60933600).

30129120 is an abundant number, since it is smaller than the sum of its proper divisors (91738080).

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

30129120 is a wasteful number, since it uses less digits than its factorization.

30129120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 30129120 is about 5488.9999089087. Note that the first 4 decimals coincide. The cubic root of 30129120 is about 311.1683968586.

The spelling of 30129120 in words is "thirty million, one hundred twenty-nine thousand, one hundred twenty".