12137203854801 has 27 divisors (see below), whose sum is σ = 17869356750427. Its totient is φ = 7938437685360.

The previous prime is 12137203854799. The next prime is 12137203854851. The reversal of 12137203854801 is 10845830273121.

The square root of 12137203854801 is 3483849.

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

12137203854801 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 72 + 0 + 38 + 548 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8749675260225 + 3387528594576 = 2957985^2 + 1840524^2 .

It is not a de Polignac number, because 12137203854801 - 2¹ = 12137203854799 is a prime.

It is a super-3 number, since 3×12137203854801³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12137203854851) 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, 553921036 + ... + 553942946.

Almost surely, 2^{12137203854801} is an apocalyptic number.

12137203854801 is the 3483849-th square number.

12137203854801 is the 1741925-th centered octagonal number.

It is an amenable number.

12137203854801 is a deficient number, since it is larger than the sum of its proper divisors (5732152895626).

12137203854801 is an frugal number, since it uses more digits than its factorization.

12137203854801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43934 (or 21967 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 12137203854801 in words is "twelve trillion, one hundred thirty-seven billion, two hundred three million, eight hundred fifty-four thousand, eight hundred one".