1111122112000 has 320 divisors, whose sum is σ = 2839032218880. Its totient is φ = 433545216000.

The previous prime is 1111122111947. The next prime is 1111122112007. The reversal of 1111122112000 is 2112211111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111122112007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1567167646 + ... + 1567168354.

It is an arithmetic number, because the mean of its divisors is an integer number (8871975684).

Almost surely, 2^{1111122112000} is an apocalyptic number.

1111122112000 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 1111122112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419516109440).

1111122112000 is an abundant number, since it is smaller than the sum of its proper divisors (1727910106880).

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

1111122112000 is an frugal number, since it uses more digits than its factorization.

1111122112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1111122112000 its reverse (2112211111), we get a palindrome (1113234323111).

The spelling of 1111122112000 in words is "one trillion, one hundred eleven billion, one hundred twenty-two million, one hundred twelve thousand".