11132242000 has 240 divisors, whose sum is σ = 29877368976. Its totient is φ = 4008576000.

The previous prime is 11132241979. The next prime is 11132242001. The reversal of 11132242000 is 24223111.

It can be written as a sum of positive squares in 8 ways, for example, as 1990587456 + 9141654544 = 44616^2 + 95612^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11132242001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37993854 + ... + 37994146.

Almost surely, 2^11132242000 is an apocalyptic number.

11132242000 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 11132242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14938684488).

11132242000 is an abundant number, since it is smaller than the sum of its proper divisors (18745126976).

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

11132242000 is a wasteful number, since it uses less digits than its factorization.

11132242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11132242000 its reverse (24223111), we get a palindrome (11156465111).

The spelling of 11132242000 in words is "eleven billion, one hundred thirty-two million, two hundred forty-two thousand".