30067971120 has 400 divisors, whose sum is σ = 114963168672. Its totient is φ = 7222763520.

The previous prime is 30067971103. The next prime is 30067971127. The reversal of 30067971120 is 2117976003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (30067971127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8052774 + ... + 8056506.

Almost surely, 2^30067971120 is an apocalyptic number.

30067971120 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 30067971120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57481584336).

30067971120 is an abundant number, since it is smaller than the sum of its proper divisors (84895197552).

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

30067971120 is a wasteful number, since it uses less digits than its factorization.

30067971120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3882 (or 3867 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The spelling of 30067971120 in words is "thirty billion, sixty-seven million, nine hundred seventy-one thousand, one hundred twenty".