30001022141024 has 144 divisors (see below), whose sum is σ = 65666155297680. Its totient is φ = 13480618905600.

The previous prime is 30001022141017. The next prime is 30001022141059. The reversal of 30001022141024 is 42014122010003.

It is a super-2 number, since 2×30001022141024² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30001022140987 and 30001022141005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2484962252 + ... + 2484974324.

It is an arithmetic number, because the mean of its divisors is an integer number (456014967345).

Almost surely, 2^{30001022141024} 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 30001022141024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32833077648840).

30001022141024 is an abundant number, since it is smaller than the sum of its proper divisors (35665133156656).

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

30001022141024 is a wasteful number, since it uses less digits than its factorization.

30001022141024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19405 (or 19386 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 30001022141024 its reverse (42014122010003), we get a palindrome (72015144151027).

The spelling of 30001022141024 in words is "thirty trillion, one billion, twenty-two million, one hundred forty-one thousand, twenty-four".