30142355200000 has 288 divisors, whose sum is σ = 76287526660800. Its totient is φ = 11904122880000.

The previous prime is 30142355199949. The next prime is 30142355200037. The reversal of 30142355200000 is 255324103.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 505570192 + ... + 505629808.

It is an arithmetic number, because the mean of its divisors is an integer number (264887245350).

Almost surely, 2^{30142355200000} 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 30142355200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38143763330400).

30142355200000 is an abundant number, since it is smaller than the sum of its proper divisors (46145171460800).

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

30142355200000 is an frugal number, since it uses more digits than its factorization.

30142355200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59743 (or 59703 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The spelling of 30142355200000 in words is "thirty trillion, one hundred forty-two billion, three hundred fifty-five million, two hundred thousand".