120866780281 has 27 divisors (see below), whose sum is σ = 133958757261. Its totient is φ = 109003612224.

The previous prime is 120866780273. The next prime is 120866780297. The reversal of 120866780281 is 182087668021.

The square root of 120866780281 is 347659.

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 57118610025 + 63748170256 = 238995^2 + 252484^2 .

It is not a de Polignac number, because 120866780281 - 2³ = 120866780273 is a prime.

It is a super-2 number, since 2×120866780281² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120866780201) 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 26 ways as a sum of consecutive naturals, for example, 212419365 + ... + 212419933.

Almost surely, 2^120866780281 is an apocalyptic number.

120866780281 is the 347659-th square number.

120866780281 is the 173830-th centered octagonal number.

It is an amenable number.

120866780281 is a deficient number, since it is larger than the sum of its proper divisors (13091976980).

120866780281 is an frugal number, since it uses more digits than its factorization.

120866780281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 49.

Multiplying 120866780281 by its sum of digits (49), we get a square (5922472233769 = 2433613²).

The spelling of 120866780281 in words is "one hundred twenty billion, eight hundred sixty-six million, seven hundred eighty thousand, two hundred eighty-one".