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12058679898721 = 37212727392
BaseRepresentation
bin1010111101111010000101…
…0101001111001001100001
31120200210120010122211000201
42233132201111033021201
53040032134023224341
641351403035545201
72353132220636311
oct257364125171141
946623503584021
1012058679898721
11392a06a485275
1214290775bb201
136961897c4551
142d9900ddb441
1515da19812331
hexaf7a154f261

12058679898721 has 27 divisors (see below), whose sum is σ = 12508679222739. Its totient is φ = 11624634081648.

The previous prime is 12058679898719. The next prime is 12058679898791. The reversal of 12058679898721 is 12789897685021.

The square root of 12058679898721 is 3472561.

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., 10790272371025 + 1268407527696 = 3284855^2 + 1126236^2 .

It is not a de Polignac number, because 12058679898721 - 21 = 12058679898719 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12058679898791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16317563770 + ... + 16317564508.

It is an arithmetic number, because the mean of its divisors is an integer number (463284415657).

Almost surely, 212058679898721 is an apocalyptic number.

12058679898721 is the 3472561-st square number.

12058679898721 is the 1736281-st centered octagonal number.

It is an amenable number.

12058679898721 is a deficient number, since it is larger than the sum of its proper divisors (449999324018).

12058679898721 is an frugal number, since it uses more digits than its factorization.

12058679898721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1806 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 73.

The spelling of 12058679898721 in words is "twelve trillion, fifty-eight billion, six hundred seventy-nine million, eight hundred ninety-eight thousand, seven hundred twenty-one".

Divisors: 1 37 127 739 1369 4699 16129 27343 93853 173863 546121 596773 1011691 3472561 11919331 20206477 22080601 69357367 128484757 441015247 747639649 2566222579 8808385609 16317564139 94950235423 325910267533 12058679898721