11203120221440 has 288 divisors, whose sum is σ = 31383517132800. Its totient is φ = 3830135586816.

The previous prime is 11203120221427. The next prime is 11203120221487. The reversal of 11203120221440 is 4412202130211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154944977 + ... + 155017263.

It is an arithmetic number, because the mean of its divisors is an integer number (108970545600).

Almost surely, 2^{11203120221440} is an apocalyptic number.

11203120221440 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 11203120221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15691758566400).

11203120221440 is an abundant number, since it is smaller than the sum of its proper divisors (20180396911360).

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

11203120221440 is an frugal number, since it uses more digits than its factorization.

11203120221440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72682 (or 72654 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 11203120221440 its reverse (4412202130211), we get a palindrome (15615322351651).

The spelling of 11203120221440 in words is "eleven trillion, two hundred three billion, one hundred twenty million, two hundred twenty-one thousand, four hundred forty".