11138220213120 has 5760 divisors, whose sum is σ = 57675252096000. Its totient is φ = 1998339932160.

The previous prime is 11138220213067. The next prime is 11138220213143. The reversal of 11138220213120 is 2131202283111.

It is a happy number.

11138220213120 is a `hidden beast` number, since 11 + 138 + 2 + 202 + 1 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 140990129241 + ... + 140990129319.

It is an arithmetic number, because the mean of its divisors is an integer number (10013064600).

Almost surely, 2^{11138220213120} is an apocalyptic number.

11138220213120 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 11138220213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28837626048000).

11138220213120 is an abundant number, since it is smaller than the sum of its proper divisors (46537031882880).

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

11138220213120 is a wasteful number, since it uses less digits than its factorization.

11138220213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 11138220213120 its reverse (2131202283111), we get a palindrome (13269422496231).

The spelling of 11138220213120 in words is "eleven trillion, one hundred thirty-eight billion, two hundred twenty million, two hundred thirteen thousand, one hundred twenty".