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12220010211211 = 111931101103181303
BaseRepresentation
bin1011000111010011000101…
…0111100010011110001011
31121021012222112002211200121
42301310301113202132023
53100203040103224321
641553443432244111
72400603146652505
oct261646127423613
947235875084617
1012220010211211
113991528209940
1214543a0840637
136a845a55040a
14303647482d75
15162d0ce7b441
hexb1d315e278b

12220010211211 has 64 divisors (see below), whose sum is σ = 14770735349760. Its totient is φ = 9986114160000.

The previous prime is 12220010211151. The next prime is 12220010211217. The reversal of 12220010211211 is 11211201002221.

It is not a de Polignac number, because 12220010211211 - 211 = 12220010209163 is a prime.

It is a super-2 number, since 2×122200102112112 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12220010211217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67310386 + ... + 67491688.

It is an arithmetic number, because the mean of its divisors is an integer number (230792739840).

Almost surely, 212220010211211 is an apocalyptic number.

12220010211211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12220010211211 is a deficient number, since it is larger than the sum of its proper divisors (2550725138549).

12220010211211 is a wasteful number, since it uses less digits than its factorization.

12220010211211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181568.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12220010211211 its reverse (11211201002221), we get a palindrome (23431211213432).

The spelling of 12220010211211 in words is "twelve trillion, two hundred twenty billion, ten million, two hundred eleven thousand, two hundred eleven".

Divisors: 1 11 19 31 101 103 209 341 589 1111 1133 1919 1957 3131 3193 6479 10403 21109 21527 34441 35123 59489 60667 114433 181303 197657 322493 654379 667337 1994333 2174227 3444757 3547423 5620393 6127367 18311603 18674209 37892327 61824323 67401037 106787467 201427633 205416299 347920457 354809971 567659693 578900479 1174662137 1886095109 3827125027 3902909681 6244256623 6367905269 10785534167 10999109101 20747046199 35835807071 58468948379 118640875837 120990200111 394193877781 643158432169 1110910019201 12220010211211