123144119209024 has 21 divisors (see below), whose sum is σ = 244364287720917. Its totient is φ = 61572015216384.

The previous prime is 123144119208991. The next prime is 123144119209091. The reversal of 123144119209024 is 420902911441321.

The square root of 123144119209024 is 11097032.

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., 102751308303424 + 20392810905600 = 10136632^2 + 4515840^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 88082692 + ... + 89469820.

It is an arithmetic number, because the mean of its divisors is an integer number (11636394653377).

Almost surely, 2^{123144119209024} is an apocalyptic number.

123144119209024 is the 11097032-nd square number.

It is an amenable number.

123144119209024 is a deficient number, since it is larger than the sum of its proper divisors (121220168511893).

123144119209024 is an frugal number, since it uses more digits than its factorization.

123144119209024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2774270 (or 1387131 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The spelling of 123144119209024 in words is "one hundred twenty-three trillion, one hundred forty-four billion, one hundred nineteen million, two hundred nine thousand, twenty-four".