30120213312 has 224 divisors, whose sum is σ = 101353559040. Its totient is φ = 8592514560.

The previous prime is 30120213289. The next prime is 30120213313. The reversal of 30120213312 is 21331202103.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30120213313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10001887 + ... + 10004897.

Almost surely, 2^30120213312 is an apocalyptic number.

30120213312 is a gapful number since it is divisible by the number (32) 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 30120213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50676779520).

30120213312 is an abundant number, since it is smaller than the sum of its proper divisors (71233345728).

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

30120213312 is a wasteful number, since it uses less digits than its factorization.

30120213312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3866 (or 3850 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 30120213312 its reverse (21331202103), we get a palindrome (51451415415).

The spelling of 30120213312 in words is "thirty billion, one hundred twenty million, two hundred thirteen thousand, three hundred twelve".