111012112000 has 64 divisors (see below), whose sum is σ = 276003903240. Its totient is φ = 44404838400.

The previous prime is 111012111971. The next prime is 111012112009. The reversal of 111012112000 is 211210111.

It can be written as a sum of positive squares in 4 ways, for example, as 57865264704 + 53146847296 = 240552^2 + 230536^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (111012112009) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3453129 + ... + 3485128.

Almost surely, 2^111012112000 is an apocalyptic number.

111012112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111012112000 is an abundant number, since it is smaller than the sum of its proper divisors (164991791240).

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

111012112000 is an frugal number, since it uses more digits than its factorization.

111012112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6938286 (or 6938264 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 111012112000 its reverse (211210111), we get a palindrome (111223322111).

The spelling of 111012112000 in words is "one hundred eleven billion, twelve million, one hundred twelve thousand".