15142433124000 has 576 divisors, whose sum is σ = 61389811042560. Its totient is φ = 3194883993600.

The previous prime is 15142433123981. The next prime is 15142433124001. The reversal of 15142433124000 is 42133424151.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (15142433124001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13662666 + ... + 14729334.

It is an arithmetic number, because the mean of its divisors is an integer number (106579533060).

Almost surely, 2^{15142433124000} is an apocalyptic number.

15142433124000 is a gapful number since it is divisible by the number (10) 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 15142433124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30694905521280).

15142433124000 is an abundant number, since it is smaller than the sum of its proper divisors (46247377918560).

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

15142433124000 is a wasteful number, since it uses less digits than its factorization.

15142433124000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066730 (or 1066699 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 15142433124000 its reverse (42133424151), we get a palindrome (15184566548151).

The spelling of 15142433124000 in words is "fifteen trillion, one hundred forty-two billion, four hundred thirty-three million, one hundred twenty-four thousand".