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12370984252081 = 72132386512
BaseRepresentation
bin1011010000000101100000…
…0111110011001010110001
31121210122200011101202102221
42310001120013303022301
53110141233432031311
642151052434041041
72414526344066200
oct264013007631261
947718604352387
1012370984252081
113a3a561110344
1214796b5719181
136b976a84b100
1430aa8a345237
15166be7310671
hexb40581f32b1

12370984252081 has 27 divisors (see below), whose sum is σ = 15583272003243. Its totient is φ = 9787778254800.

The previous prime is 12370984252063. The next prime is 12370984252139. The reversal of 12370984252081 is 18025248907321.

The square root of 12370984252081 is 3517241.

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

It can be written as a sum of positive squares in only one way, i.e., 1830027256225 + 10540956995856 = 1352785^2 + 3246684^2 .

It is not a de Polignac number, because 12370984252081 - 25 = 12370984252049 is a prime.

It is a super-2 number, since 2×123709842520812 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12370984252021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 320049606 + ... + 320088256.

Almost surely, 212370984252081 is an apocalyptic number.

12370984252081 is the 3517241-st square number.

12370984252081 is the 1758621-st centered octagonal number.

It is an amenable number.

12370984252081 is a deficient number, since it is larger than the sum of its proper divisors (3212287751162).

12370984252081 is an frugal number, since it uses more digits than its factorization.

12370984252081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77342 (or 38671 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 52.

The spelling of 12370984252081 in words is "twelve trillion, three hundred seventy billion, nine hundred eighty-four million, two hundred fifty-two thousand, eighty-one".

Divisors: 1 7 13 49 91 169 637 1183 8281 38651 270557 502463 1893899 3517241 6532019 24620687 45724133 320068931 1493899801 10457298607 19420697413 73201090249 135944881891 252469066369 951614173237 1767283464583 12370984252081