11121132000 has 384 divisors, whose sum is σ = 40056726528. Its totient is φ = 2674944000.

The previous prime is 11121131969. The next prime is 11121132013. The reversal of 11121132000 is 23112111.

It is a super-2 number, since 2×11121132000² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22835757 + ... + 22836243.

It is an arithmetic number, because the mean of its divisors is an integer number (104314392).

Almost surely, 2^11121132000 is an apocalyptic number.

11121132000 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 11121132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20028363264).

11121132000 is an abundant number, since it is smaller than the sum of its proper divisors (28935594528).

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

11121132000 is a wasteful number, since it uses less digits than its factorization.

11121132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 681 counting only the distinct ones).

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

Adding to 11121132000 its reverse (23112111), we get a palindrome (11144244111).

The spelling of 11121132000 in words is "eleven billion, one hundred twenty-one million, one hundred thirty-two thousand".