11134141200 has 480 divisors, whose sum is σ = 48778822400. Its totient is φ = 2348974080.

The previous prime is 11134141153. The next prime is 11134141241. The reversal of 11134141200 is 214143111.

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 95 ways as a sum of consecutive naturals, for example, 977136 + ... + 988464.

Almost surely, 2^11134141200 is an apocalyptic number.

11134141200 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 11134141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24389411200).

11134141200 is an abundant number, since it is smaller than the sum of its proper divisors (37644681200).

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

11134141200 is a wasteful number, since it uses less digits than its factorization.

11134141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11376 (or 11359 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11134141200 its reverse (214143111), we get a palindrome (11348284311).

The spelling of 11134141200 in words is "eleven billion, one hundred thirty-four million, one hundred forty-one thousand, two hundred".