Search a number
-
+
12056259601 = 19257792
BaseRepresentation
bin10110011101001101…
…11110110000010001
31011010012222110000101
423032212332300101
5144142400301401
65312155252401
7604523341621
oct131646766021
934105873011
1012056259601
115127498311
12240574a101
1311a1a02129
148252a4881
154a8685101
hex2ce9bec11

12056259601 has 9 divisors (see below), whose sum is σ = 12726398601. Its totient is φ = 11419743204.

The previous prime is 12056259559. The next prime is 12056259613. The reversal of 12056259601 is 10695265021.

The square root of 12056259601 is 109801.

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

It is not a de Polignac number, because 12056259601 - 217 = 12056128529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12056259671) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2083330 + ... + 2089108.

It is an arithmetic number, because the mean of its divisors is an integer number (1414044289).

Almost surely, 212056259601 is an apocalyptic number.

12056259601 is the 109801-st square number.

12056259601 is the 54901-st centered octagonal number and also the 49105-th centered decagonal number.

It is an amenable number.

12056259601 is a deficient number, since it is larger than the sum of its proper divisors (670139000).

12056259601 is an frugal number, since it uses more digits than its factorization.

12056259601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11596 (or 5798 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 37.

Multiplying 12056259601 by its product of nonzero digits (32400), we get a square (390622811072400 = 197641802).

The spelling of 12056259601 in words is "twelve billion, fifty-six million, two hundred fifty-nine thousand, six hundred one".

Divisors: 1 19 361 5779 109801 2086219 33396841 634539979 12056259601