Search a number
-
+
12012010011001 = 72111310103169681
BaseRepresentation
bin1010111011001100001110…
…0101101111100101111001
31120112100002122000212122201
42232303003211233211321
53033301044030323001
641314124034150201
72346560543302600
oct256630345574571
946470078025581
1012012010011001
1139112a0553930
121420011a22361
1369195c94ac80
142d7554a84a37
1515c6d74bc501
hexaecc396f979

12012010011001 has 48 divisors (see below), whose sum is σ = 16417735302528. Its totient is φ = 8639101094400.

The previous prime is 12012010010983. The next prime is 12012010011049. The reversal of 12012010011001 is 10011001021021.

It is not a de Polignac number, because 12012010011001 - 235 = 11977650272633 is a prime.

12012010011001 is a modest number, since divided by 10011001 gives 120120 as remainder.

It is not an unprimeable number, because it can be changed into a prime (12012010011061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70706881 + ... + 70876561.

It is an arithmetic number, because the mean of its divisors is an integer number (342036152136).

Almost surely, 212012010011001 is an apocalyptic number.

12012010011001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12012010011001 is a deficient number, since it is larger than the sum of its proper divisors (4405725291527).

12012010011001 is a wasteful number, since it uses less digits than its factorization.

12012010011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179822 (or 179815 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 12012010011001 its reverse (10011001021021), we get a palindrome (22023011032022).

The spelling of 12012010011001 in words is "twelve trillion, twelve billion, ten million, eleven thousand, one".

Divisors: 1 7 11 13 49 77 91 143 539 637 1001 7007 10103 70721 111133 131339 169681 495047 777931 919373 1187767 1444729 1866491 2205853 5445517 6435611 8314369 10113103 13065437 15440971 24264383 70791721 91458059 108086797 169850681 1188954767 1714287143 12000010001 18857158573 22285732859 84000070007 132000110011 156000130013 245143061449 924000770077 1092000910091 1716001430143 12012010011001