11221405403120 has 160 divisors (see below), whose sum is σ = 29762644354560. Its totient is φ = 3894736440320.

The previous prime is 11221405403119. The next prime is 11221405403147. The reversal of 11221405403120 is 2130450412211.

It is a happy number.

11221405403120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11221405403120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8858486 + ... + 10045674.

It is an arithmetic number, because the mean of its divisors is an integer number (186016527216).

Almost surely, 2^{11221405403120} is an apocalyptic number.

11221405403120 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 11221405403120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14881322177280).

11221405403120 is an abundant number, since it is smaller than the sum of its proper divisors (18541238951440).

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

11221405403120 is a wasteful number, since it uses less digits than its factorization.

11221405403120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187703 (or 1187697 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 11221405403120 its reverse (2130450412211), we get a palindrome (13351855815331).

The spelling of 11221405403120 in words is "eleven trillion, two hundred twenty-one billion, four hundred five million, four hundred three thousand, one hundred twenty".