120872342889 has 45 divisors (see below), whose sum is σ = 185969100499. Its totient is φ = 75652339200.

The previous prime is 120872342839. The next prime is 120872342891. The reversal of 120872342889 is 988243278021.

The square root of 120872342889 is 347667.

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

120872342889 is a `hidden beast` number, since 1 + 208 + 7 + 2 + 3 + 428 + 8 + 9 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 26868782889 + 94003560000 = 163917^2 + 306600^2 .

It is a de Polignac number, because none of the positive numbers 2^k-120872342889 is a prime.

It is a super-2 number, since 2×120872342889² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (120872342839) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 301427089 + ... + 301427489.

Almost surely, 2^120872342889 is an apocalyptic number.

120872342889 is the 347667-th square number.

120872342889 is the 173834-th centered octagonal number.

It is an amenable number.

120872342889 is a deficient number, since it is larger than the sum of its proper divisors (65096757610).

120872342889 is an frugal number, since it uses more digits than its factorization.

120872342889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

It can be divided in two parts, 120872 and 342889, that added together give a square (463761 = 681²).

The spelling of 120872342889 in words is "one hundred twenty billion, eight hundred seventy-two million, three hundred forty-two thousand, eight hundred eighty-nine".