30302311120 has 240 divisors, whose sum is σ = 77921418960. Its totient is φ = 10943299584.

The previous prime is 30302311111. The next prime is 30302311121. The reversal of 30302311120 is 2111320303.

It can be written as a sum of positive squares in 8 ways, for example, as 118113424 + 30184197696 = 10868^2 + 173736^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 30302311094 and 30302311103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30302311121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81239254 + ... + 81239626.

It is an arithmetic number, because the mean of its divisors is an integer number (324672579).

Almost surely, 2^30302311120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30302311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38960709480).

30302311120 is an abundant number, since it is smaller than the sum of its proper divisors (47619107840).

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

30302311120 is a wasteful number, since it uses less digits than its factorization.

30302311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 30302311120 its reverse (2111320303), we get a palindrome (32413631423).

The spelling of 30302311120 in words is "thirty billion, three hundred two million, three hundred eleven thousand, one hundred twenty".