300112101213000 has 1024 divisors, whose sum is σ = 1007026687180800. Its totient is φ = 74279640960000.

The previous prime is 300112101212983. The next prime is 300112101213047. The reversal of 300112101213000 is 312101211003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 74673324991 + ... + 74673329009.

It is an arithmetic number, because the mean of its divisors is an integer number (983424499200).

Almost surely, 2^{300112101213000} is an apocalyptic number.

300112101213000 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 300112101213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503513343590400).

300112101213000 is an abundant number, since it is smaller than the sum of its proper divisors (706914585967800).

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

300112101213000 is a wasteful number, since it uses less digits than its factorization.

300112101213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4451 (or 4437 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 300112101213000 its reverse (312101211003), we get a palindrome (300424202424003).

The spelling of 300112101213000 in words is "three hundred trillion, one hundred twelve billion, one hundred one million, two hundred thirteen thousand".