123988961 has 18 divisors (see below), whose sum is σ = 133375158. Its totient is φ = 115191360.

The previous prime is 123988951. The next prime is 123989017. The reversal of 123988961 is 169889321.

It can be written as a sum of positive squares in 3 ways, for example, as 35628961 + 88360000 = 5969^2 + 9400^2 .

It is not a de Polignac number, because 123988961 - 2¹⁴ = 123972577 is a prime.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123988901) 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 17 ways as a sum of consecutive naturals, for example, 2638040 + ... + 2638086.

It is an arithmetic number, because the mean of its divisors is an integer number (7409731).

Almost surely, 2^123988961 is an apocalyptic number.

It is an amenable number.

123988961 is a deficient number, since it is larger than the sum of its proper divisors (9386197).

123988961 is an frugal number, since it uses more digits than its factorization.

123988961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 125 counting only the distinct ones).

The product of its digits is 186624, while the sum is 47.

The square root of 123988961 is about 11135.0330488957. The cubic root of 123988961 is about 498.6482970914.

The spelling of 123988961 in words is "one hundred twenty-three million, nine hundred eighty-eight thousand, nine hundred sixty-one".