30011142042000 has 240 divisors, whose sum is σ = 119793046718592. Its totient is φ = 6859689580800.

The previous prime is 30011142041987. The next prime is 30011142042001. The reversal of 30011142042000 is 24024111003.

30011142042000 is a `hidden beast` number, since 30 + 0 + 1 + 11 + 420 + 4 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (30011142042001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118965834 + ... + 119217833.

Almost surely, 2^{30011142042000} is an apocalyptic number.

30011142042000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30011142042000 is an abundant number, since it is smaller than the sum of its proper divisors (89781904676592).

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

30011142042000 is a wasteful number, since it uses less digits than its factorization.

30011142042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238183703 (or 238183684 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 30011142042000 its reverse (24024111003), we get a palindrome (30035166153003).

The spelling of 30011142042000 in words is "thirty trillion, eleven billion, one hundred forty-two million, forty-two thousand".