Search a number
-
+
12078229801 = 1129721032
BaseRepresentation
bin10110011111110101…
…10010100100101001
31011011202022122110111
423033322302210221
5144214011323201
65314302214321
7605211154651
oct131772624451
934152278414
1012078229801
115138933900
122410b843a1
1311a6425251
14828183361
154aa574b51
hex2cfeb2929

12078229801 has 27 divisors (see below), whose sum is σ = 13545849303. Its totient is φ = 10761505920.

The previous prime is 12078229763. The next prime is 12078229843. The reversal of 12078229801 is 10892287021.

The square root of 12078229801 is 109901.

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., 5423586025 + 6654643776 = 73645^2 + 81576^2 .

It is not a de Polignac number, because 12078229801 - 211 = 12078227753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12078224801) 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, 117264316 + ... + 117264418.

Almost surely, 212078229801 is an apocalyptic number.

12078229801 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12078229801 is the 109901-st square number.

12078229801 is the 54951-st centered octagonal number.

It is an amenable number.

12078229801 is a deficient number, since it is larger than the sum of its proper divisors (1467619502).

12078229801 is an frugal number, since it uses more digits than its factorization.

12078229801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 40.

The spelling of 12078229801 in words is "twelve billion, seventy-eight million, two hundred twenty-nine thousand, eight hundred one".

Divisors: 1 11 97 103 121 1067 1133 9409 9991 10609 11737 12463 103499 109901 116699 969127 1029073 1138489 1208911 1283689 10660397 11319803 99820081 117264367 124517833 1098020891 12078229801