120838681 has 2 divisors, whose sum is σ = 120838682. Its totient is φ = 120838680.

The previous prime is 120838649. The next prime is 120838709. The reversal of 120838681 is 186838021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82646281 + 38192400 = 9091^2 + 6180^2 .

It is an emirp because it is prime and its reverse (186838021) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 120838681 - 2⁵ = 120838649 is a prime.

It is a super-2 number, since 2×120838681² = 29203973651639522, which contains 22 as substring.

It is equal to p_6886540 and since 120838681 and 6886540 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 120838681.

It is not a weakly prime, because it can be changed into another prime (120838981) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60419340 + 60419341.

It is an arithmetic number, because the mean of its divisors is an integer number (60419341).

Almost surely, 2^120838681 is an apocalyptic number.

It is an amenable number.

120838681 is a deficient number, since it is larger than the sum of its proper divisors (1).

120838681 is an equidigital number, since it uses as much as digits as its factorization.

120838681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 120838681 is about 10992.6648725411. The cubic root of 120838681 is about 494.3888399907.

The spelling of 120838681 in words is "one hundred twenty million, eight hundred thirty-eight thousand, six hundred eighty-one".