124842795561 has 135 divisors (see below), whose sum is σ = 212425813677. Its totient is φ = 73012317840.

The previous prime is 124842795521. The next prime is 124842795563. The reversal of 124842795561 is 165597248421.

The square root of 124842795561 is 353331.

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

124842795561 is a `hidden beast` number, since 1 + 2 + 4 + 8 + 4 + 2 + 79 + 5 + 561 = 666.

It is not a de Polignac number, because 124842795561 - 2²⁹ = 124305924649 is a prime.

Its product of digits (4838400) is a multiple of the sum of its prime divisors (140).

It is a junction number, because it is equal to n+sod(n) for n = 124842795498 and 124842795507.

It is not an unprimeable number, because it can be changed into a prime (124842795563) 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 134 ways as a sum of consecutive naturals, for example, 1504130026 + ... + 1504130108.

Almost surely, 2^124842795561 is an apocalyptic number.

124842795561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

124842795561 is the 353331-st square number.

124842795561 is the 176666-th centered octagonal number.

It is an amenable number.

124842795561 is a deficient number, since it is larger than the sum of its proper divisors (87583018116).

124842795561 is an frugal number, since it uses more digits than its factorization.

124842795561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 140 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 124842795561 in words is "one hundred twenty-four billion, eight hundred forty-two million, seven hundred ninety-five thousand, five hundred sixty-one".