2111012230320 has 640 divisors, whose sum is σ = 8740034887680. Its totient is φ = 458136207360.

The previous prime is 2111012230309. The next prime is 2111012230333. The reversal of 2111012230320 is 230322101112.

2111012230320 is a `hidden beast` number, since 2 + 1 + 110 + 1 + 2 + 230 + 320 = 666.

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 = 2111012230293 and 2111012230302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24799672 + ... + 24884648.

It is an arithmetic number, because the mean of its divisors is an integer number (13656304512).

Almost surely, 2^{2111012230320} is an apocalyptic number.

2111012230320 is a gapful number since it is divisible by the number (20) 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 2111012230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4370017443840).

2111012230320 is an abundant number, since it is smaller than the sum of its proper divisors (6629022657360).

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

2111012230320 is a wasteful number, since it uses less digits than its factorization.

2111012230320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85090 (or 85078 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2111012230320 its reverse (230322101112), we get a palindrome (2341334331432).

The spelling of 2111012230320 in words is "two trillion, one hundred eleven billion, twelve million, two hundred thirty thousand, three hundred twenty".