11132132400 has 240 divisors, whose sum is σ = 40545281920. Its totient is φ = 2899411200.

The previous prime is 11132132369. The next prime is 11132132413. The reversal of 11132132400 is 423123111.

11132132400 is a `hidden beast` number, since 1 + 1 + 132 + 132 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×11132132400² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 452415 + ... + 476385.

Almost surely, 2^11132132400 is an apocalyptic number.

11132132400 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 11132132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20272640960).

11132132400 is an abundant number, since it is smaller than the sum of its proper divisors (29413149520).

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

11132132400 is a wasteful number, since it uses less digits than its factorization.

11132132400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24041 (or 24024 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11132132400 its reverse (423123111), we get a palindrome (11555255511).

The spelling of 11132132400 in words is "eleven billion, one hundred thirty-two million, one hundred thirty-two thousand, four hundred".