120882077761 has 27 divisors (see below), whose sum is σ = 132339855843. Its totient is φ = 110395671120.

The previous prime is 120882077749. The next prime is 120882077779. The reversal of 120882077761 is 167770288021.

The square root of 120882077761 is 347681.

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., 63387629361 + 57494448400 = 251769^2 + 239780^2 .

It is not a de Polignac number, because 120882077761 - 2⁹ = 120882077249 is a prime.

It is a super-2 number, since 2×120882077761² (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 (120882077731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 191571916 + ... + 191572546.

Almost surely, 2^120882077761 is an apocalyptic number.

120882077761 is the 347681-st square number.

120882077761 is the 173841-st centered octagonal number.

It is an amenable number.

120882077761 is a deficient number, since it is larger than the sum of its proper divisors (11457778082).

120882077761 is an frugal number, since it uses more digits than its factorization.

120882077761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 49.

Multiplying 120882077761 by its sum of digits (49), we get a square (5923221810289 = 2433767²).

The spelling of 120882077761 in words is "one hundred twenty billion, eight hundred eighty-two million, seventy-seven thousand, seven hundred sixty-one".