30422144000000 has 196 divisors, whose sum is σ = 76050064476402. Its totient is φ = 12168806400000.

The previous prime is 30422143999981. The next prime is 30422144000009. The reversal of 30422144000000 is 44122403.

It can be written as a sum of positive squares in 7 ways, for example, as 25896211124224 + 4525932875776 = 5088832^2 + 2127424^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (30422144000009) 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 13 ways as a sum of consecutive naturals, for example, 127881164 + ... + 128118836.

Almost surely, 2^{30422144000000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30422144000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38025032238201).

30422144000000 is an abundant number, since it is smaller than the sum of its proper divisors (45627920476402).

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

30422144000000 is an frugal number, since it uses more digits than its factorization.

30422144000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237729 (or 237680 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 30422144000000 its reverse (44122403), we get a palindrome (30422188122403).

The spelling of 30422144000000 in words is "thirty trillion, four hundred twenty-two billion, one hundred forty-four million", and thus it is an aban number.