11200413132 has 192 divisors, whose sum is σ = 32643072000. Its totient is φ = 3303913536.

The previous prime is 11200413061. The next prime is 11200413137. The reversal of 11200413132 is 23131400211.

11200413132 is a `hidden beast` number, since 1 + 120 + 0 + 413 + 132 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11200413137) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2026669 + ... + 2032187.

It is an arithmetic number, because the mean of its divisors is an integer number (170016000).

Almost surely, 2^11200413132 is an apocalyptic number.

11200413132 is a gapful number since it is divisible by the number (12) 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 11200413132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16321536000).

11200413132 is an abundant number, since it is smaller than the sum of its proper divisors (21442658868).

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

11200413132 is a wasteful number, since it uses less digits than its factorization.

11200413132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5617 (or 5609 counting only the distinct ones).

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

Adding to 11200413132 its reverse (23131400211), we get a palindrome (34331813343).

The spelling of 11200413132 in words is "eleven billion, two hundred million, four hundred thirteen thousand, one hundred thirty-two".