110012111120 has 80 divisors (see below), whose sum is σ = 257332837680. Its totient is φ = 43738202112.

The previous prime is 110012111119. The next prime is 110012111129. The reversal of 110012111120 is 21111210011.

It can be written as a sum of positive squares in 8 ways, for example, as 5530599424 + 104481511696 = 74368^2 + 323236^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (110012111129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8945936 + ... + 8958224.

It is an arithmetic number, because the mean of its divisors is an integer number (3216660471).

Almost surely, 2^110012111120 is an apocalyptic number.

110012111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110012111120 is an abundant number, since it is smaller than the sum of its proper divisors (147320726560).

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

110012111120 is a wasteful number, since it uses less digits than its factorization.

110012111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12972 (or 12966 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 110012111120 its reverse (21111210011), we get a palindrome (131123321131).

The spelling of 110012111120 in words is "one hundred ten billion, twelve million, one hundred eleven thousand, one hundred twenty".