30134202222300 has 288 divisors, whose sum is σ = 97788042664704. Its totient is φ = 7100335872000.

The previous prime is 30134202222269. The next prime is 30134202222307. The reversal of 30134202222300 is 322220243103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30134202222307) 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 95 ways as a sum of consecutive naturals, for example, 116231815 + ... + 116490785.

It is an arithmetic number, because the mean of its divisors is an integer number (339541814808).

Almost surely, 2^{30134202222300} is an apocalyptic number.

30134202222300 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 30134202222300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48894021332352).

30134202222300 is an abundant number, since it is smaller than the sum of its proper divisors (67653840442404).

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

30134202222300 is a wasteful number, since it uses less digits than its factorization.

30134202222300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259989 (or 259982 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 30134202222300 its reverse (322220243103), we get a palindrome (30456422465403).

The spelling of 30134202222300 in words is "thirty trillion, one hundred thirty-four billion, two hundred two million, two hundred twenty-two thousand, three hundred".