199124243877321 has 405 divisors, whose sum is σ = 376114502432019. Its totient is φ = 101199218674176.

The previous prime is 199124243877311. The next prime is 199124243877331. The reversal of 199124243877321 is 123778342421991.

The square root of 199124243877321 is 14111139.

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

199124243877321 is a `hidden beast` number, since 1 + 9 + 9 + 1 + 242 + 4 + 387 + 7 + 3 + 2 + 1 = 666.

199124243877321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (199124243877311) and next prime (199124243877331).

It can be written as a sum of positive squares in 7 ways, for example, as 36308277153225 + 162815966724096 = 6025635^2 + 12759936^2 .

It is not a de Polignac number, because 199124243877321 - 2¹³ = 199124243869129 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (199124243877311) by changing a digit.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 4236686039920 + ... + 4236686039966.

Almost surely, 2^{199124243877321} is an apocalyptic number.

199124243877321 is the 14111139-th square number.

199124243877321 is the 7055570-th centered octagonal number.

It is an amenable number.

199124243877321 is a deficient number, since it is larger than the sum of its proper divisors (176990258554698).

199124243877321 is an frugal number, since it uses more digits than its factorization.

199124243877321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 103 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The spelling of 199124243877321 in words is "one hundred ninety-nine trillion, one hundred twenty-four billion, two hundred forty-three million, eight hundred seventy-seven thousand, three hundred twenty-one".