124955978213641 has 27 divisors (see below), whose sum is σ = 126698728249429. Its totient is φ = 123237158353568.

The previous prime is 124955978213639. The next prime is 124955978213687. The reversal of 124955978213641 is 146312879559421.

The square root of 124955978213641 is 11178371.

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 1153860524041 + 123802117689600 = 1074179^2 + 11126640^2 .

It is not a de Polignac number, because 124955978213641 - 2¹ = 124955978213639 is a prime.

It is a super-2 number, since 2×124955978213641² (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 (124955978213041) 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, 394182896415 + ... + 394182896731.

Almost surely, 2^{124955978213641} is an apocalyptic number.

124955978213641 is the 11178371-st square number.

124955978213641 is the 5589186-th centered octagonal number.

It is an amenable number.

124955978213641 is a deficient number, since it is larger than the sum of its proper divisors (1742750035788).

124955978213641 is an frugal number, since it uses more digits than its factorization.

124955978213641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 693 counting only the distinct ones).

The product of its digits is 130636800, while the sum is 67.

The spelling of 124955978213641 in words is "one hundred twenty-four trillion, nine hundred fifty-five billion, nine hundred seventy-eight million, two hundred thirteen thousand, six hundred forty-one".