1120727118736 has 135 divisors (see below), whose sum is σ = 2340455463633. Its totient is φ = 519836549760.

The previous prime is 1120727118733. The next prime is 1120727118757. The reversal of 1120727118736 is 6378117270211.

The square root of 1120727118736 is 1058644.

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

It can be written as a sum of positive squares in only one way, i.e., 1002842016400 + 117885102336 = 1001420^2 + 343344^2 .

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1120727118733) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3603624021 + ... + 3603624331.

Almost surely, 2^{1120727118736} is an apocalyptic number.

1120727118736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1120727118736 is the 1058644-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120727118736

1120727118736 is an abundant number, since it is smaller than the sum of its proper divisors (1219728344897).

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

1120727118736 is an frugal number, since it uses more digits than its factorization.

1120727118736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 46.

The spelling of 1120727118736 in words is "one trillion, one hundred twenty billion, seven hundred twenty-seven million, one hundred eighteen thousand, seven hundred thirty-six".