30312041315220 has 384 divisors, whose sum is σ = 110086373376000. Its totient is φ = 6779997955584.

The previous prime is 30312041315209. The next prime is 30312041315249. The reversal of 30312041315220 is 2251314021303.

30312041315220 is a `hidden beast` number, since 3 + 0 + 3 + 1 + 2 + 0 + 4 + 131 + 522 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1945191549 + ... + 1945207131.

It is an arithmetic number, because the mean of its divisors is an integer number (286683264000).

Almost surely, 2^{30312041315220} is an apocalyptic number.

30312041315220 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 30312041315220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55043186688000).

30312041315220 is an abundant number, since it is smaller than the sum of its proper divisors (79774332060780).

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

30312041315220 is a wasteful number, since it uses less digits than its factorization.

30312041315220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26604 (or 26596 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 30312041315220 its reverse (2251314021303), we get a palindrome (32563355336523).

The spelling of 30312041315220 in words is "thirty trillion, three hundred twelve billion, forty-one million, three hundred fifteen thousand, two hundred twenty".