Search a number
-
+
12012001001 = 7111321922557
BaseRepresentation
bin10110010111111100…
…01001011011101001
31011000010200212121222
423023332021123221
5144100033013001
65303534511425
7603445216040
oct131376113351
934003625558
1012012001001
115104509160
1223b2965575
1311957a7100
1481d463557
154a484161b
hex2cbf896e9

12012001001 has 72 divisors (see below), whose sum is σ = 17121737664. Its totient is φ = 8182062720.

The previous prime is 12012000991. The next prime is 12012001031. The reversal of 12012001001 is 10010021021.

It is a de Polignac number, because none of the positive numbers 2k-12012001001 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12012001001.

It is not an unprimeable number, because it can be changed into a prime (12012001031) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4696415 + ... + 4698971.

It is an arithmetic number, because the mean of its divisors is an integer number (237801912).

Almost surely, 212012001001 is an apocalyptic number.

12012001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12012001001 is a deficient number, since it is larger than the sum of its proper divisors (5109736663).

12012001001 is a wasteful number, since it uses less digits than its factorization.

12012001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2639 (or 2607 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 12012001001 its reverse (10010021021), we get a palindrome (22022022022).

The spelling of 12012001001 in words is "twelve billion, twelve million, one thousand, one".

Divisors: 1 7 11 13 19 77 91 133 143 169 209 247 361 1001 1183 1463 1729 1859 2527 2557 2717 3211 3971 4693 13013 17899 19019 22477 27797 28127 32851 33241 35321 48583 51623 61009 196889 232687 247247 340081 361361 365651 427063 432133 534413 631579 671099 923077 2559557 3024931 3740891 4421053 4697693 4753463 6461539 6947369 8210527 10153847 12000001 33274241 48631583 57473689 71076929 84000007 90315797 132000011 156000013 632210579 924000077 1092000091 1716000143 12012001001