1120249460736 has 240 divisors, whose sum is σ = 3824119419120. Its totient is φ = 320070942720.

The previous prime is 1120249460597. The next prime is 1120249460767. The reversal of 1120249460736 is 6370649420211.

1120249460736 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 2 + 4 + 9 + 4 + 607 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1120249460691 and 1120249460700.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 678856 + ... + 1643576.

It is an arithmetic number, because the mean of its divisors is an integer number (15933830913).

Almost surely, 2^{1120249460736} is an apocalyptic number.

1120249460736 is a gapful number since it is divisible by the number (16) 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 1120249460736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1912059709560).

1120249460736 is an abundant number, since it is smaller than the sum of its proper divisors (2703869958384).

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

1120249460736 is an frugal number, since it uses more digits than its factorization.

1120249460736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964762 (or 964733 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 1120249460736 in words is "one trillion, one hundred twenty billion, two hundred forty-nine million, four hundred sixty thousand, seven hundred thirty-six".