8111001183120 has 480 divisors, whose sum is σ = 29945013396480. Its totient is φ = 1951174517760.

The previous prime is 8111001183091. The next prime is 8111001183121. The reversal of 8111001183120 is 213811001118.

It is not an unprimeable number, because it can be changed into a prime (8111001183121) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 818709207 + ... + 818719113.

It is an arithmetic number, because the mean of its divisors is an integer number (62385444576).

Almost surely, 2^{8111001183120} is an apocalyptic number.

8111001183120 is a gapful number since it is divisible by the number (80) 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 8111001183120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14972506698240).

8111001183120 is an abundant number, since it is smaller than the sum of its proper divisors (21834012213360).

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

8111001183120 is a wasteful number, since it uses less digits than its factorization.

8111001183120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10723 (or 10714 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 27.

Adding to 8111001183120 its reverse (213811001118), we get a palindrome (8324812184238).

The spelling of 8111001183120 in words is "eight trillion, one hundred eleven billion, one million, one hundred eighty-three thousand, one hundred twenty".