300123213220200 has 384 divisors, whose sum is σ = 975381421593600. Its totient is φ = 76194727403520.

The previous prime is 300123213220111. The next prime is 300123213220261. The reversal of 300123213220200 is 2022312321003.

It is a happy number.

It is a super-2 number, since 2×300123213220200² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13416914616 + ... + 13416936984.

It is an arithmetic number, because the mean of its divisors is an integer number (2540055785400).

Almost surely, 2^{300123213220200} is an apocalyptic number.

300123213220200 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 300123213220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487690710796800).

300123213220200 is an abundant number, since it is smaller than the sum of its proper divisors (675258208373400).

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

300123213220200 is a wasteful number, since it uses less digits than its factorization.

300123213220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26921 (or 26912 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 300123213220200 its reverse (2022312321003), we get a palindrome (302145525541203).

The spelling of 300123213220200 in words is "three hundred trillion, one hundred twenty-three billion, two hundred thirteen million, two hundred twenty thousand, two hundred".