123657019201 has 5 divisors (see below), whose sum is σ = 123865899301. Its totient is φ = 123448491344.

The previous prime is 123657019153. The next prime is 123657019217. The reversal of 123657019201 is 102910756321.

The square root of 123657019201 is 351649.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 6528801601 + 117128217600 = 80801^2 + 342240^2 .

It is not a de Polignac number, because 123657019201 - 2⁹ = 123657018689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123657019261) 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 4 ways as a sum of consecutive naturals, for example, 208527561 + ... + 208528153.

Almost surely, 2^123657019201 is an apocalyptic number.

123657019201 is the 351649-th square number.

123657019201 is the 175825-th centered octagonal number.

It is an amenable number.

123657019201 is a deficient number, since it is larger than the sum of its proper divisors (208880100).

123657019201 is an frugal number, since it uses more digits than its factorization.

123657019201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 37.

The spelling of 123657019201 in words is "one hundred twenty-three billion, six hundred fifty-seven million, nineteen thousand, two hundred one".