11134200000 has 672 divisors, whose sum is σ = 46098049536. Its totient is φ = 2304000000.

The previous prime is 11134199957. The next prime is 11134200001. The reversal of 11134200000 is 243111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (11134200001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46199880 + ... + 46200120.

It is an arithmetic number, because the mean of its divisors is an integer number (68598288).

Almost surely, 2^11134200000 is an apocalyptic number.

11134200000 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 11134200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23049024768).

11134200000 is an abundant number, since it is smaller than the sum of its proper divisors (34963849536).

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

11134200000 is an equidigital number, since it uses as much as digits as its factorization.

11134200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 11134200000 its reverse (243111), we get a palindrome (11134443111).

The spelling of 11134200000 in words is "eleven billion, one hundred thirty-four million, two hundred thousand".