30200110020000 has 720 divisors, whose sum is σ = 116273475077760. Its totient is φ = 7403332608000.

The previous prime is 30200110019987. The next prime is 30200110020001. The reversal of 30200110020000 is 2001100203.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (30200110020001) 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 119 ways as a sum of consecutive naturals, for example, 131465241 + ... + 131694759.

It is an arithmetic number, because the mean of its divisors is an integer number (161490937608).

Almost surely, 2^{30200110020000} is an apocalyptic number.

30200110020000 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 30200110020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58136737538880).

30200110020000 is an abundant number, since it is smaller than the sum of its proper divisors (86073365057760).

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

30200110020000 is a wasteful number, since it uses less digits than its factorization.

30200110020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229615 (or 229589 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 30200110020000 its reverse (2001100203), we get a palindrome (30202111120203).

The spelling of 30200110020000 in words is "thirty trillion, two hundred billion, one hundred ten million, twenty thousand".