11124041260200 has 192 divisors, whose sum is σ = 39599458329600. Its totient is φ = 2554803705600.

The previous prime is 11124041260183. The next prime is 11124041260231. The reversal of 11124041260200 is 206214042111.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44228832 + ... + 44479631.

It is an arithmetic number, because the mean of its divisors is an integer number (206247178800).

Almost surely, 2^{11124041260200} is an apocalyptic number.

11124041260200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11124041260200 is an abundant number, since it is smaller than the sum of its proper divisors (28475417069400).

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

11124041260200 is a wasteful number, since it uses less digits than its factorization.

11124041260200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88708512 (or 88708503 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The spelling of 11124041260200 in words is "eleven trillion, one hundred twenty-four billion, forty-one million, two hundred sixty thousand, two hundred".