30011242029120 has 896 divisors, whose sum is σ = 116712845568000. Its totient is φ = 7199097937920.

The previous prime is 30011242029079. The next prime is 30011242029133. The reversal of 30011242029120 is 2192024211003.

30011242029120 is a `hidden beast` number, since 3 + 0 + 0 + 112 + 420 + 2 + 9 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 127 ways as a sum of consecutive naturals, for example, 10556186419 + ... + 10556189261.

Almost surely, 2^{30011242029120} is an apocalyptic number.

30011242029120 is a gapful number since it is divisible by the number (30) 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 30011242029120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58356422784000).

30011242029120 is an abundant number, since it is smaller than the sum of its proper divisors (86701603538880).

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

30011242029120 is a wasteful number, since it uses less digits than its factorization.

30011242029120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4008 (or 3992 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 30011242029120 in words is "thirty trillion, eleven billion, two hundred forty-two million, twenty-nine thousand, one hundred twenty".