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12120012111011 = 7317101136115121
BaseRepresentation
bin1011000001011110100100…
…0001000011110010100011
31120220122212111001000110212
42300113221001003302203
53042033241100023021
641435505014044335
72360433125066000
oct260275101036243
946818774030425
1012120012111011
113953082961122
121438b336496ab
1369bbb225761c
142dc87c7988a7
15160408eb985b
hexb05e9043ca3

12120012111011 has 64 divisors (see below), whose sum is σ = 15125822841600. Its totient is φ = 9672929280000.

The previous prime is 12120012111007. The next prime is 12120012111013. The reversal of 12120012111011 is 11011121002121.

It is not a de Polignac number, because 12120012111011 - 22 = 12120012111007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12120012111013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 801527531 + ... + 801542651.

It is an arithmetic number, because the mean of its divisors is an integer number (236340981900).

Almost surely, 212120012111011 is an apocalyptic number.

12120012111011 is a deficient number, since it is larger than the sum of its proper divisors (3005810730589).

12120012111011 is a wasteful number, since it uses less digits than its factorization.

12120012111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16621 (or 16607 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 12120012111011 its reverse (11011121002121), we get a palindrome (23131133113132).

The spelling of 12120012111011 in words is "twelve trillion, one hundred twenty billion, twelve million, one hundred eleven thousand, eleven".

Divisors: 1 7 17 49 101 119 343 707 833 1361 1717 4949 5831 9527 12019 15121 23137 34643 66689 84133 105847 137461 161959 257057 466823 588931 740929 962227 1133713 1527221 1799399 2336837 5186503 6735589 7935991 10690547 12595793 16357859 20579681 25962757 47149123 74833829 88170551 114505013 144057767 181739299 349854577 523836803 801535091 1008404369 1272175093 2078547781 2448982039 7058830583 8905225651 14549834467 17142874273 35335312277 101848841269 120000119911 247347185939 712941888883 1731430301573 12120012111011