1121520211344 has 480 divisors, whose sum is σ = 3561739534080. Its totient is φ = 327023972352.

The previous prime is 1121520211333. The next prime is 1121520211381. The reversal of 1121520211344 is 4431120251211.

1121520211344 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 520 + 2 + 1 + 134 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1829559582 + ... + 1829560194.

It is an arithmetic number, because the mean of its divisors is an integer number (7420290696).

Almost surely, 2^{1121520211344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121520211344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780869767040).

1121520211344 is an abundant number, since it is smaller than the sum of its proper divisors (2440219322736).

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

1121520211344 is a wasteful number, since it uses less digits than its factorization.

1121520211344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 1121520211344 its reverse (4431120251211), we get a palindrome (5552640462555).

The spelling of 1121520211344 in words is "one trillion, one hundred twenty-one billion, five hundred twenty million, two hundred eleven thousand, three hundred forty-four".