11200200120144 has 120 divisors (see below), whose sum is σ = 37397493669120. Its totient is φ = 3200057171136.

The previous prime is 11200200120143. The next prime is 11200200120173. The reversal of 11200200120144 is 44102100200211.

11200200120144 is a `hidden beast` number, since 1 + 1 + 200 + 200 + 120 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11200200120143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264533824 + ... + 264576159.

It is an arithmetic number, because the mean of its divisors is an integer number (311645780576).

Almost surely, 2^{11200200120144} is an apocalyptic number.

11200200120144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11200200120144 is an abundant number, since it is smaller than the sum of its proper divisors (26197293548976).

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

11200200120144 is a wasteful number, since it uses less digits than its factorization.

11200200120144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529110014 (or 529109995 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11200200120144 its reverse (44102100200211), we get a palindrome (55302300320355).

The spelling of 11200200120144 in words is "eleven trillion, two hundred billion, two hundred million, one hundred twenty thousand, one hundred forty-four".