1120820281344 has 225 divisors, whose sum is σ = 3352168987167. Its totient is φ = 373200224256.

The previous prime is 1120820281331. The next prime is 1120820281411. The reversal of 1120820281344 is 4431820280211.

The square root of 1120820281344 is 1058688.

It is a perfect power (a square), and thus also a powerful number.

1120820281344 is a `hidden beast` number, since 1 + 12 + 0 + 8 + 20 + 281 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1120820281299 and 1120820281308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1219608117 + ... + 1219609035.

Almost surely, 2^{1120820281344} is an apocalyptic number.

1120820281344 is the 1058688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120820281344

1120820281344 is an abundant number, since it is smaller than the sum of its proper divisors (2231348705823).

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

1120820281344 is an frugal number, since it uses more digits than its factorization.

1120820281344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

Multiplying 1120820281344 by its sum of digits (36), we get a square (40349530128384 = 6352128²).

1120820281344 divided by its sum of digits (36) gives a square (31133896704 = 176448²).

The spelling of 1120820281344 in words is "one trillion, one hundred twenty billion, eight hundred twenty million, two hundred eighty-one thousand, three hundred forty-four".