306103072128 has 384 divisors, whose sum is σ = 980286912000. Its totient is φ = 84325183488.

The previous prime is 306103072127. The next prime is 306103072147. The reversal of 306103072128 is 821270301603.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306103072127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63915558 + ... + 63920346.

It is an arithmetic number, because the mean of its divisors is an integer number (2552830500).

Almost surely, 2^306103072128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306103072128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490143456000).

306103072128 is an abundant number, since it is smaller than the sum of its proper divisors (674183839872).

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

306103072128 is a wasteful number, since it uses less digits than its factorization.

306103072128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4942 (or 4923 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 306103072128 in words is "three hundred six billion, one hundred three million, seventy-two thousand, one hundred twenty-eight".