1120506307536 has 240 divisors, whose sum is σ = 3695358481920. Its totient is φ = 289296725760.

The previous prime is 1120506307499. The next prime is 1120506307541. The reversal of 1120506307536 is 6357036050211.

It is a super-2 number, since 2×1120506307536² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1120506307494 and 1120506307503.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 4190955 + ... + 4450293.

It is an arithmetic number, because the mean of its divisors is an integer number (15397327008).

Almost surely, 2^{1120506307536} is an apocalyptic number.

1120506307536 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 1120506307536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847679240960).

1120506307536 is an abundant number, since it is smaller than the sum of its proper divisors (2574852174384).

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

1120506307536 is a wasteful number, since it uses less digits than its factorization.

1120506307536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259542 (or 259529 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The spelling of 1120506307536 in words is "one trillion, one hundred twenty billion, five hundred six million, three hundred seven thousand, five hundred thirty-six".