30144533132000 has 192 divisors, whose sum is σ = 84708149984640. Its totient is φ = 10327661568000.

The previous prime is 30144533131997. The next prime is 30144533132003. The reversal of 30144533132000 is 23133544103.

It is an interprime number because it is at equal distance from previous prime (30144533131997) and next prime (30144533132003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30144533132003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37712486 + ... + 38503514.

It is an arithmetic number, because the mean of its divisors is an integer number (441188281170).

Almost surely, 2^{30144533132000} 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 30144533132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42354074992320).

30144533132000 is an abundant number, since it is smaller than the sum of its proper divisors (54563616852640).

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

30144533132000 is a wasteful number, since it uses less digits than its factorization.

30144533132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792422 (or 792404 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

Adding to 30144533132000 its reverse (23133544103), we get a palindrome (30167666676103).

The spelling of 30144533132000 in words is "thirty trillion, one hundred forty-four billion, five hundred thirty-three million, one hundred thirty-two thousand".