Search a number
-
+
12120211020100 = 2252901313447477
BaseRepresentation
bin1011000001011111010011…
…0111110101100101000100
31120220200101100022122110011
42300113310313311211010
53042034143010120400
641435540441240004
72360441061560611
oct260276467654504
946820340278404
1012120211020100
1139531751694a7
121438b8a193004
1369bc1451c201
142dc89ad75508
1516041b6aa8ba
hexb05f4df5944

12120211020100 has 36 divisors (see below), whose sum is σ = 26303777972164. Its totient is φ = 4847546148480.

The previous prime is 12120211020031. The next prime is 12120211020119. The reversal of 12120211020100 is 102011202121.

It can be written as a sum of positive squares in 6 ways, for example, as 514020170304 + 11606190849796 = 716952^2 + 3406786^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5822439 + ... + 7625038.

Almost surely, 212120211020100 is an apocalyptic number.

12120211020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12120211020100 is an abundant number, since it is smaller than the sum of its proper divisors (14183566952064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12120211020100 is a wasteful number, since it uses less digits than its factorization.

12120211020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13456504 (or 13456497 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12120211020100 its reverse (102011202121), we get a palindrome (12222222222221).

The spelling of 12120211020100 in words is "twelve trillion, one hundred twenty billion, two hundred eleven million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 9013 18026 36052 45065 90130 180260 225325 450650 901300 13447477 26894954 53789908 67237385 134474770 268949540 336186925 672373850 1344747700 121202110201 242404220402 484808440804 606010551005 1212021102010 2424042204020 3030052755025 6060105510050 12120211020100