30122241024144 has 240 divisors, whose sum is σ = 84533401847360. Its totient is φ = 9238126878720.

The previous prime is 30122241023933. The next prime is 30122241024167. The reversal of 30122241024144 is 44142014222103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137820102 + ... + 138038490.

Almost surely, 2^{30122241024144} is an apocalyptic number.

30122241024144 is a gapful number since it is divisible by the number (34) 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 30122241024144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42266700923680).

30122241024144 is an abundant number, since it is smaller than the sum of its proper divisors (54411160823216).

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

30122241024144 is a wasteful number, since it uses less digits than its factorization.

30122241024144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218658 (or 218635 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 30122241024144 its reverse (44142014222103), we get a palindrome (74264255246247).

The spelling of 30122241024144 in words is "thirty trillion, one hundred twenty-two billion, two hundred forty-one million, twenty-four thousand, one hundred forty-four".