11812132800 has 1176 divisors, whose sum is σ = 50604938160. Its totient is φ = 2687385600.

The previous prime is 11812132769. The next prime is 11812132807. The reversal of 11812132800 is 823121811.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11812132807) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 288100780 + ... + 288100820.

It is an arithmetic number, because the mean of its divisors is an integer number (43031410).

Almost surely, 2^11812132800 is an apocalyptic number.

11812132800 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 11812132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25302469080).

11812132800 is an abundant number, since it is smaller than the sum of its proper divisors (38792805360).

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

11812132800 is a wasteful number, since it uses less digits than its factorization.

11812132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The spelling of 11812132800 in words is "eleven billion, eight hundred twelve million, one hundred thirty-two thousand, eight hundred".