11011141200 has 240 divisors, whose sum is σ = 36398313216. Its totient is φ = 2843904000.

The previous prime is 11011141147. The next prime is 11011141201. The reversal of 11011141200 is 214111011.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011141201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5695434 + ... + 5697366.

Almost surely, 2^11011141200 is an apocalyptic number.

11011141200 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 11011141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18199156608).

11011141200 is an abundant number, since it is smaller than the sum of its proper divisors (25387172016).

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

11011141200 is a wasteful number, since it uses less digits than its factorization.

11011141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2102 (or 2091 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11011141200 its reverse (214111011), we get a palindrome (11225252211).

The spelling of 11011141200 in words is "eleven billion, eleven million, one hundred forty-one thousand, two hundred".