30200313232000 has 256 divisors, whose sum is σ = 77068817280000. Its totient is φ = 11763630489600.

The previous prime is 30200313231971. The next prime is 30200313232009. The reversal of 30200313232000 is 23231300203.

It is a happy number.

It is a super-3 number, since 3×30200313232000³ (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (30200313232009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149547096 + ... + 149748904.

It is an arithmetic number, because the mean of its divisors is an integer number (301050067500).

Almost surely, 2^{30200313232000} 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 30200313232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38534408640000).

30200313232000 is an abundant number, since it is smaller than the sum of its proper divisors (46868504048000).

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

30200313232000 is a wasteful number, since it uses less digits than its factorization.

30200313232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202084 (or 202062 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 30200313232000 its reverse (23231300203), we get a palindrome (30223544532203).

The spelling of 30200313232000 in words is "thirty trillion, two hundred billion, three hundred thirteen million, two hundred thirty-two thousand".