111121011112000 has 168 divisors, whose sum is σ = 279934566738840. Its totient is φ = 43695030707200.

The previous prime is 111121011111989. The next prime is 111121011112003. The reversal of 111121011112000 is 211110121111.

It can be written as a sum of positive squares in 4 ways, for example, as 4619649024 + 111116391462976 = 67968^2 + 10541176^2 .

It is a super-2 number, since 2×111121011112000² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (111121011112003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25852866 + ... + 29843134.

Almost surely, 2^{111121011112000} is an apocalyptic number.

111121011112000 is a gapful number since it is divisible by the number (10) 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 111121011112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139967283369420).

111121011112000 is an abundant number, since it is smaller than the sum of its proper divisors (168813555626840).

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

111121011112000 is an frugal number, since it uses more digits than its factorization.

111121011112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3990414 (or 3990335 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 111121011112000 its reverse (211110121111), we get a palindrome (111332121233111).

The spelling of 111121011112000 in words is "one hundred eleven trillion, one hundred twenty-one billion, eleven million, one hundred twelve thousand".