30002212320000 has 360 divisors, whose sum is σ = 99810328408560. Its totient is φ = 7998167040000.

The previous prime is 30002212319983. The next prime is 30002212320043. The reversal of 30002212320000 is 2321220003.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2045272666 + ... + 2045287334.

It is an arithmetic number, because the mean of its divisors is an integer number (277250912246).

Almost surely, 2^{30002212320000} is an apocalyptic number.

30002212320000 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 30002212320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49905164204280).

30002212320000 is an abundant number, since it is smaller than the sum of its proper divisors (69808116088560).

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

30002212320000 is an equidigital number, since it uses as much as digits as its factorization.

30002212320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18969 (or 18940 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 30002212320000 its reverse (2321220003), we get a palindrome (30004533540003).

The spelling of 30002212320000 in words is "thirty trillion, two billion, two hundred twelve million, three hundred twenty thousand".