124986996225 has 405 divisors, whose sum is σ = 290645325243. Its totient is φ = 51316312320.

The previous prime is 124986996203. The next prime is 124986996229. The reversal of 124986996225 is 522699689421.

The square root of 124986996225 is 353535.

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

124986996225 is a `hidden beast` number, since 1 + 2 + 498 + 69 + 9 + 62 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 72129307761 + 52857688464 = 268569^2 + 229908^2 .

It is not a de Polignac number, because 124986996225 - 2¹⁹ = 124986471937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (33592320) is a multiple of the sum of its prime factors (144).

It is not an unprimeable number, because it can be changed into a prime (124986996229) 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 404 ways as a sum of consecutive naturals, for example, 3378026907 + ... + 3378026943.

Almost surely, 2^124986996225 is an apocalyptic number.

124986996225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

124986996225 is the 353535-th square number.

124986996225 is the 176768-th centered octagonal number.

It is an amenable number.

124986996225 is an abundant number, since it is smaller than the sum of its proper divisors (165658329018).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

124986996225 is an equidigital number, since it uses as much as digits as its factorization.

124986996225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 65 counting only the distinct ones).

The product of its digits is 33592320, while the sum is 63.

It can be divided in two parts, 124986 and 996225, that added together give a palindrome (1121211).

The spelling of 124986996225 in words is "one hundred twenty-four billion, nine hundred eighty-six million, nine hundred ninety-six thousand, two hundred twenty-five".