300033000120 has 64 divisors (see below), whose sum is σ = 1028684574720. Its totient is φ = 68578971264.

The previous prime is 300033000107. The next prime is 300033000131. The reversal of 300033000120 is 21000330003.

It is a happy number.

It is a super-2 number, since 2×300033000120² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 300033000096 and 300033000105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178590232 + ... + 178591911.

It is an arithmetic number, because the mean of its divisors is an integer number (16073196480).

Almost surely, 2^300033000120 is an apocalyptic number.

300033000120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

300033000120 is an abundant number, since it is smaller than the sum of its proper divisors (728651574600).

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

300033000120 is a wasteful number, since it uses less digits than its factorization.

300033000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357182164 (or 357182160 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 300033000120 its reverse (21000330003), we get a palindrome (321033330123).

The spelling of 300033000120 in words is "three hundred billion, thirty-three million, one hundred twenty", and thus it is an aban number.