300011022000 has 480 divisors, whose sum is σ = 1102506560064. Its totient is φ = 75935232000.

The previous prime is 300011021977. The next prime is 300011022019. The reversal of 300011022000 is 220110003.

It is a happy number.

It is a super-2 number, since 2×300011022000² (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 95 ways as a sum of consecutive naturals, for example, 27300507 + ... + 27311493.

Almost surely, 2^300011022000 is an apocalyptic number.

300011022000 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 300011022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551253280032).

300011022000 is an abundant number, since it is smaller than the sum of its proper divisors (802495538064).

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

300011022000 is a wasteful number, since it uses less digits than its factorization.

300011022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11094 (or 11075 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 300011022000 its reverse (220110003), we get a palindrome (300231132003).

The spelling of 300011022000 in words is "three hundred billion, eleven million, twenty-two thousand".