11122200960 has 384 divisors, whose sum is σ = 38813333760. Its totient is φ = 2707660800.

The previous prime is 11122200911. The next prime is 11122200961. The reversal of 11122200960 is 6900222111.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a self number, because there is not a number n which added to its sum of digits gives 11122200960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11122200961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48996367 + ... + 48996593.

It is an arithmetic number, because the mean of its divisors is an integer number (101076390).

Almost surely, 2^11122200960 is an apocalyptic number.

11122200960 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 11122200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19406666880).

11122200960 is an abundant number, since it is smaller than the sum of its proper divisors (27691132800).

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

11122200960 is a wasteful number, since it uses less digits than its factorization.

11122200960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The spelling of 11122200960 in words is "eleven billion, one hundred twenty-two million, two hundred thousand, nine hundred sixty".