30255120 has 400 divisors, whose sum is σ = 129634560. Its totient is φ = 6386688.

The previous prime is 30255109. The next prime is 30255131. The reversal of 30255120 is 2155203.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30255109) and next prime (30255131).

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 = 30255093 and 30255102.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1043266 + ... + 1043294.

Almost surely, 2^30255120 is an apocalyptic number.

30255120 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 30255120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64817280).

30255120 is an abundant number, since it is smaller than the sum of its proper divisors (99379440).

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

30255120 is a wasteful number, since it uses less digits than its factorization.

30255120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 30255120 is about 5500.4654348519. The cubic root of 30255120 is about 311.6015624003.

The spelling of 30255120 in words is "thirty million, two hundred fifty-five thousand, one hundred twenty".