11144207120 has 40 divisors (see below), whose sum is σ = 26335051800. Its totient is φ = 4384604160.

The previous prime is 11144207117. The next prime is 11144207131. The reversal of 11144207120 is 2170244111.

It can be written as a sum of positive squares in 4 ways, for example, as 1399358464 + 9744848656 = 37408^2 + 98716^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1136945 + ... + 1146704.

It is an arithmetic number, because the mean of its divisors is an integer number (658376295).

Almost surely, 2^11144207120 is an apocalyptic number.

11144207120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11144207120 is an abundant number, since it is smaller than the sum of its proper divisors (15190844680).

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

11144207120 is a wasteful number, since it uses less digits than its factorization.

11144207120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2283723 (or 2283717 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The spelling of 11144207120 in words is "eleven billion, one hundred forty-four million, two hundred seven thousand, one hundred twenty".