11243641200 has 240 divisors, whose sum is σ = 39558634752. Its totient is φ = 2707200000.

The previous prime is 11243641187. The next prime is 11243641249. The reversal of 11243641200 is 214634211.

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 (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1990380 + ... + 1996020.

Almost surely, 2^11243641200 is an apocalyptic number.

11243641200 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 11243641200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19779317376).

11243641200 is an abundant number, since it is smaller than the sum of its proper divisors (28314993552).

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

11243641200 is a wasteful number, since it uses less digits than its factorization.

11243641200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5824 (or 5813 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 11243641200 in words is "eleven billion, two hundred forty-three million, six hundred forty-one thousand, two hundred".