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12002001011 = 711313197503
BaseRepresentation
bin10110010110110000…
…00000000001110011
31010222102212211012222
423023120000001303
5144040003013021
65302540311255
7603264216410
oct131330000163
933872784188
1012002001011
1150a98a9000
1223ab54252b
1311936b5560
1481bdbd107
154a3a186ab
hex2cb600073

12002001011 has 64 divisors (see below), whose sum is σ = 16362694656. Its totient is φ = 8571911040.

The previous prime is 12002001007. The next prime is 12002001017. The reversal of 12002001011 is 11010020021.

It is not a de Polignac number, because 12002001011 - 22 = 12002001007 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12002001011.

It is not an unprimeable number, because it can be changed into a prime (12002001017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23860586 + ... + 23861088.

It is an arithmetic number, because the mean of its divisors is an integer number (255667104).

Almost surely, 212002001011 is an apocalyptic number.

12002001011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12002001011 is a deficient number, since it is larger than the sum of its proper divisors (4360693645).

12002001011 is a wasteful number, since it uses less digits than its factorization.

12002001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 731 counting only the distinct ones).

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

Adding to 12002001011 its reverse (11010020021), we get a palindrome (23012021032).

It can be divided in two parts, 120020010 and 11, that added together give a palindrome (120020021).

The spelling of 12002001011 in words is "twelve billion, two million, one thousand, eleven".

Divisors: 1 7 11 13 77 91 121 143 197 503 847 1001 1331 1379 1573 2167 2561 3521 5533 6539 9317 11011 15169 17303 17927 23837 28171 38731 45773 60863 71929 99091 121121 166859 197197 262207 309881 426041 503503 669493 693637 791219 1090001 1288183 1835449 2169167 3408691 4686451 5538533 7630007 8703409 9017281 11990011 14170013 23860837 60923863 83930077 99190091 131890121 155870143 923230847 1091091001 1714571573 12002001011