300223023120 has 240 divisors, whose sum is σ = 1036416604080. Its totient is φ = 77826686976.

The previous prime is 300223023103. The next prime is 300223023167. The reversal of 300223023120 is 21320322003.

It is a happy number.

300223023120 is a `hidden beast` number, since 30 + 0 + 22 + 302 + 312 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 140274219024 + 159948804096 = 374532^2 + 399936^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×300223023120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 300223023093 and 300223023102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34547736 + ... + 34556424.

It is an arithmetic number, because the mean of its divisors is an integer number (4318402517).

Almost surely, 2^300223023120 is an apocalyptic number.

300223023120 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 300223023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518208302040).

300223023120 is an abundant number, since it is smaller than the sum of its proper divisors (736193580960).

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

300223023120 is a wasteful number, since it uses less digits than its factorization.

300223023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10042 (or 10033 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 300223023120 its reverse (21320322003), we get a palindrome (321543345123).

The spelling of 300223023120 in words is "three hundred billion, two hundred twenty-three million, twenty-three thousand, one hundred twenty".