Search a number
-
+
12002111121 = 37112132191471
BaseRepresentation
bin10110010110110000…
…11010111010010001
31010222110002102021010
423023120122322101
5144040020023441
65302542521133
7603265155420
oct131330327221
933873072233
1012002111121
1150a9973800
1223ab5961a9
131193723700
1481c00b2b7
154a3a3b116
hex2cb61ae91

12002111121 has 144 divisors (see below), whose sum is σ = 22929285120. Its totient is φ = 5448643200.

The previous prime is 12002111087. The next prime is 12002111123. The reversal of 12002111121 is 12111120021.

12002111121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12002111121 - 29 = 12002110609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12002111097 and 12002111106.

It is not an unprimeable number, because it can be changed into a prime (12002111123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8158416 + ... + 8159886.

Almost surely, 212002111121 is an apocalyptic number.

12002111121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12002111121 is a deficient number, since it is larger than the sum of its proper divisors (10927173999).

12002111121 is a wasteful number, since it uses less digits than its factorization.

12002111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12002111121 its reverse (12111120021), we get a palindrome (24113231142).

The spelling of 12002111121 in words is "twelve billion, two million, one hundred eleven thousand, one hundred twenty-one".

Divisors: 1 3 7 11 13 19 21 33 39 57 77 91 121 133 143 169 209 231 247 273 363 399 429 507 627 741 847 1001 1183 1463 1471 1573 1729 1859 2299 2541 2717 3003 3211 3549 4389 4413 4719 5187 5577 6897 8151 9633 10297 11011 13013 16093 16181 19019 19123 20449 22477 27949 29887 30891 33033 35321 39039 48279 48543 57057 57369 61347 67431 83847 89661 105963 113267 133861 143143 177991 195643 209209 210353 247247 248599 307439 339801 363337 388531 401583 429429 533973 586929 627627 631059 741741 745797 922317 1090011 1165593 1245937 1472471 1740193 2152073 2313883 2543359 2719717 2734589 3381829 3737811 3996707 4417413 4723381 5220579 6456219 6941649 7630077 8159151 8203767 10145487 11990121 14170143 16197181 19142123 23672803 27976949 30080479 33063667 43963777 48591543 51957191 57426369 71018409 83930847 90241437 99191001 131891331 155871573 210563353 307746439 363700337 571529101 631690059 923239317 1091101011 1714587303 4000703707 12002111121