300120112200000 has 672 divisors, whose sum is σ = 998596045512576. Its totient is φ = 79543296000000.

The previous prime is 300120112199983. The next prime is 300120112200001. The reversal of 300120112200000 is 2211021003.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300120112200001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 138880198920 + ... + 138880201080.

It is an arithmetic number, because the mean of its divisors is an integer number (1486006020108).

Almost surely, 2^{300120112200000} is an apocalyptic number.

300120112200000 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 300120112200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499298022756288).

300120112200000 is an abundant number, since it is smaller than the sum of its proper divisors (698475933312576).

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

300120112200000 is a wasteful number, since it uses less digits than its factorization.

300120112200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3509 (or 3479 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 300120112200000 its reverse (2211021003), we get a palindrome (300122323221003).

The spelling of 300120112200000 in words is "three hundred trillion, one hundred twenty billion, one hundred twelve million, two hundred thousand".