30120743160 has 256 divisors, whose sum is σ = 103026470400. Its totient is φ = 7825019904.

The previous prime is 30120743141. The next prime is 30120743161. The reversal of 30120743160 is 6134702103.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30120743161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6541419 + ... + 6546021.

It is an arithmetic number, because the mean of its divisors is an integer number (402447150).

Almost surely, 2^30120743160 is an apocalyptic number.

30120743160 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 30120743160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51513235200).

30120743160 is an abundant number, since it is smaller than the sum of its proper divisors (72905727240).

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

30120743160 is a wasteful number, since it uses less digits than its factorization.

30120743160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4779 (or 4769 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 30120743160 in words is "thirty billion, one hundred twenty million, seven hundred forty-three thousand, one hundred sixty".