11132112000000 has 308 divisors, whose sum is σ = 37088606509760. Its totient is φ = 2968550400000.

The previous prime is 11132111999971. The next prime is 11132112000029. The reversal of 11132112000000 is 21123111.

It is an interprime number because it is at equal distance from previous prime (11132111999971) and next prime (11132112000029).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 11132112000000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 47884041 + ... + 48115959.

Almost surely, 2^{11132112000000} is an apocalyptic number.

11132112000000 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 11132112000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18544303254880).

11132112000000 is an abundant number, since it is smaller than the sum of its proper divisors (25956494509760).

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

11132112000000 is an frugal number, since it uses more digits than its factorization.

11132112000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231972 (or 231929 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 11132112000000 its reverse (21123111), we get a palindrome (11132133123111).

The spelling of 11132112000000 in words is "eleven trillion, one hundred thirty-two billion, one hundred twelve million", and thus it is an aban number.