300032100000 has 432 divisors, whose sum is σ = 1106039896416. Its totient is φ = 80002080000.

The previous prime is 300032099989. The next prime is 300032100013. The reversal of 300032100000 is 1230003.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×300032100000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24293827 + ... + 24306173.

It is an arithmetic number, because the mean of its divisors is an integer number (2560277538).

Almost surely, 2^300032100000 is an apocalyptic number.

300032100000 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 300032100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553019948208).

300032100000 is an abundant number, since it is smaller than the sum of its proper divisors (806007796416).

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

300032100000 is an frugal number, since it uses more digits than its factorization.

300032100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12397 (or 12357 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

Adding to 300032100000 its reverse (1230003), we get a palindrome (300033330003).

The spelling of 300032100000 in words is "three hundred billion, thirty-two million, one hundred thousand".