120119780646889 has 9 divisors (see below), whose sum is σ = 127601487399621. Its totient is φ = 113053735838400.

The previous prime is 120119780646847. The next prime is 120119780646917. The reversal of 120119780646889 is 988646087911021.

The square root of 120119780646889 is 10959917.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3429922520025 + 116689858126864 = 1852005^2 + 10802308^2 .

It is not a de Polignac number, because 120119780646889 - 2¹⁷ = 120119780515817 is a prime.

It is a super-5 number, since 5×120119780646889⁵ (a number of 72 digits) contains 55555 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120119780646829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 185996239 + ... + 186640939.

Almost surely, 2^{120119780646889} is an apocalyptic number.

120119780646889 is the 10959917-th square number.

120119780646889 is the 5479959-th centered octagonal number.

It is an amenable number.

120119780646889 is a deficient number, since it is larger than the sum of its proper divisors (7481706752732).

120119780646889 is an frugal number, since it uses more digits than its factorization.

120119780646889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289436 (or 644718 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 70.

The spelling of 120119780646889 in words is "one hundred twenty trillion, one hundred nineteen billion, seven hundred eighty million, six hundred forty-six thousand, eight hundred eighty-nine".