124368241506601 has 27 divisors (see below), whose sum is σ = 132494673486693. Its totient is φ = 116716473601920.

The previous prime is 124368241506589. The next prime is 124368241506629. The reversal of 124368241506601 is 106605142863421.

The square root of 124368241506601 is 11152051.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1550336265625 + 122817905240976 = 1245125^2 + 11082324^2 .

It is not a de Polignac number, because 124368241506601 - 2¹¹ = 124368241504553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (124368241506631) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 87398622976 + ... + 87398624398.

Almost surely, 2^{124368241506601} is an apocalyptic number.

124368241506601 is the 11152051-st square number.

124368241506601 is the 5576026-th centered octagonal number.

It is an amenable number.

124368241506601 is a deficient number, since it is larger than the sum of its proper divisors (8126431980092).

124368241506601 is an frugal number, since it uses more digits than its factorization.

124368241506601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3802 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 49.

The spelling of 124368241506601 in words is "one hundred twenty-four trillion, three hundred sixty-eight billion, two hundred forty-one million, five hundred six thousand, six hundred one".