1116122112000 has 1792 divisors, whose sum is σ = 4841609011200. Its totient is φ = 248433868800.

The previous prime is 1116122111989. The next prime is 1116122112029. The reversal of 1116122112000 is 2112216111.

1116122112000 is a `hidden beast` number, since 1 + 11 + 612 + 21 + 1 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14128127961 + ... + 14128128039.

Almost surely, 2^{1116122112000} is an apocalyptic number.

1116122112000 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 1116122112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2420804505600).

1116122112000 is an abundant number, since it is smaller than the sum of its proper divisors (3725486899200).

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

1116122112000 is an frugal number, since it uses more digits than its factorization.

1116122112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 1116122112000 its reverse (2112216111), we get a palindrome (1118234328111).

The spelling of 1116122112000 in words is "one trillion, one hundred sixteen billion, one hundred twenty-two million, one hundred twelve thousand".