30200123133120 has 224 divisors, whose sum is σ = 101530503779328. Its totient is φ = 7579280719872.

The previous prime is 30200123133109. The next prime is 30200123133139. The reversal of 30200123133120 is 2133132100203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 587216847 + ... + 587268273.

Almost surely, 2^{30200123133120} is an apocalyptic number.

30200123133120 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 30200123133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50765251889664).

30200123133120 is an abundant number, since it is smaller than the sum of its proper divisors (71330380646208).

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

30200123133120 is a wasteful number, since it uses less digits than its factorization.

30200123133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87447 (or 87437 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 30200123133120 its reverse (2133132100203), we get a palindrome (32333255233323).

The spelling of 30200123133120 in words is "thirty trillion, two hundred billion, one hundred twenty-three million, one hundred thirty-three thousand, one hundred twenty".