300132100200000 has 336 divisors, whose sum is σ = 1004519597256000. Its totient is φ = 79070933760000.

The previous prime is 300132100199963. The next prime is 300132100200013. The reversal of 300132100200000 is 2001231003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46786626 + ... + 52813374.

It is an arithmetic number, because the mean of its divisors is an integer number (2989641658500).

Almost surely, 2^{300132100200000} is an apocalyptic number.

300132100200000 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 300132100200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502259798628000).

300132100200000 is an abundant number, since it is smaller than the sum of its proper divisors (704387497056000).

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

300132100200000 is an frugal number, since it uses more digits than its factorization.

300132100200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6026872 (or 6026842 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 300132100200000 its reverse (2001231003), we get a palindrome (300134101431003).

The spelling of 300132100200000 in words is "three hundred trillion, one hundred thirty-two billion, one hundred million, two hundred thousand".