30021120000000 has 768 divisors, whose sum is σ = 108490866793920. Its totient is φ = 7999488000000.

The previous prime is 30021119999993. The next prime is 30021120000077. The reversal of 30021120000000 is 2112003.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 23039999349 + ... + 23040000651.

Almost surely, 2^{30021120000000} is an apocalyptic number.

30021120000000 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 30021120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54245433396960).

30021120000000 is an abundant number, since it is smaller than the sum of its proper divisors (78469746793920).

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

30021120000000 is an frugal number, since it uses more digits than its factorization.

30021120000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 30021120000000 its reverse (2112003), we get a palindrome (30021122112003).

It can be divided in two parts, 30021 and 120000000, that added together give a palindrome (120030021).

The spelling of 30021120000000 in words is "thirty trillion, twenty-one billion, one hundred twenty million", and thus it is an aban number.