30002112000000 has 1638 divisors, whose sum is σ = 126130826598504. Its totient is φ = 6851174400000.

The previous prime is 30002111999957. The next prime is 30002112000001. The reversal of 30002112000000 is 21120003.

It is a happy number.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30002112000001) by changing a digit.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 28223999469 + ... + 28224000531.

Almost surely, 2^{30002112000000} is an apocalyptic number.

30002112000000 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 30002112000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63065413299252).

30002112000000 is an abundant number, since it is smaller than the sum of its proper divisors (96128714598504).

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

30002112000000 is an frugal number, since it uses more digits than its factorization.

30002112000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1080 counting only the distinct ones).

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

Adding to 30002112000000 its reverse (21120003), we get a palindrome (30002133120003).

It can be divided in two parts, 3000211 and 2000000, that added together give a cube (5000211 = 171³).

The spelling of 30002112000000 in words is "thirty trillion, two billion, one hundred twelve million", and thus it is an aban number.