11147212800 has 432 divisors, whose sum is σ = 42300105120. Its totient is φ = 2795765760.

The previous prime is 11147212789. The next prime is 11147212807. The reversal of 11147212800 is 821274111.

11147212800 is a `hidden beast` number, since 111 + 472 + 1 + 2 + 80 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11147212807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7832889 + ... + 7834311.

It is an arithmetic number, because the mean of its divisors is an integer number (97916910).

Almost surely, 2^11147212800 is an apocalyptic number.

11147212800 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 11147212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21150052560).

11147212800 is an abundant number, since it is smaller than the sum of its proper divisors (31152892320).

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

11147212800 is a wasteful number, since it uses less digits than its factorization.

11147212800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

Adding to 11147212800 its reverse (821274111), we get a palindrome (11968486911).

The spelling of 11147212800 in words is "eleven billion, one hundred forty-seven million, two hundred twelve thousand, eight hundred".