30218049120 has 288 divisors, whose sum is σ = 110925013248. Its totient is φ = 6894676992.

The previous prime is 30218049101. The next prime is 30218049137. The reversal of 30218049120 is 2194081203.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 23119507 + ... + 23120813.

It is an arithmetic number, because the mean of its divisors is an integer number (385156296).

Almost surely, 2^30218049120 is an apocalyptic number.

30218049120 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 30218049120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55462506624).

30218049120 is an abundant number, since it is smaller than the sum of its proper divisors (80706964128).

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

30218049120 is a wasteful number, since it uses less digits than its factorization.

30218049120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2322 (or 2307 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 30218049120 in words is "thirty billion, two hundred eighteen million, forty-nine thousand, one hundred twenty".