124291304257201 has 9 divisors (see below), whose sum is σ = 124419611938401. Its totient is φ = 124163128791504.

The previous prime is 124291304257189. The next prime is 124291304257229. The reversal of 124291304257201 is 102752403192421.

The square root of 124291304257201 is 11148601.

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 46123779519601 + 78167524737600 = 6791449^2 + 8841240^2 .

It is not a de Polignac number, because 124291304257201 - 2²¹ = 124291302160049 is a prime.

It is a super-2 number, since 2×124291304257201² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (124291304207201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11917849255 + ... + 11917859683.

It is an arithmetic number, because the mean of its divisors is an integer number (13824401326489).

Almost surely, 2^{124291304257201} is an apocalyptic number.

124291304257201 is the 11148601-st square number.

124291304257201 is the 5574301-st centered octagonal number.

It is an amenable number.

124291304257201 is a deficient number, since it is larger than the sum of its proper divisors (128307681200).

124291304257201 is an frugal number, since it uses more digits than its factorization.

124291304257201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22996 (or 11498 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 124291304257201 in words is "one hundred twenty-four trillion, two hundred ninety-one billion, three hundred four million, two hundred fifty-seven thousand, two hundred one".