30035240101200 has 240 divisors, whose sum is σ = 100416282696576. Its totient is φ = 7659619123200.

The previous prime is 30035240101189. The next prime is 30035240101201. The reversal of 30035240101200 is 210104253003.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30035240101201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140128512 + ... + 140342688.

Almost surely, 2^{30035240101200} is an apocalyptic number.

30035240101200 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 30035240101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50208141348288).

30035240101200 is an abundant number, since it is smaller than the sum of its proper divisors (70381042595376).

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

30035240101200 is a wasteful number, since it uses less digits than its factorization.

30035240101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219302 (or 219291 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 30035240101200 its reverse (210104253003), we get a palindrome (30245344354203).

The spelling of 30035240101200 in words is "thirty trillion, thirty-five billion, two hundred forty million, one hundred one thousand, two hundred".