Search a number
-
+
12220011011112 = 2334357120737471
BaseRepresentation
bin1011000111010011000101…
…1010100101110000101000
31121021012222120121110221120
42301310301122211300220
53100203040304323422
641553443501335240
72400603156523542
oct261646132456050
947235876543846
1012220011011112
113991528705913
1214543a0b67520
136a845a770528
14303647610692
15162d0d08845c
hexb1d316a5c28

12220011011112 has 64 divisors (see below), whose sum is σ = 31315241717760. Its totient is φ = 3971640254400.

The previous prime is 12220011011093. The next prime is 12220011011137. The reversal of 12220011011112 is 21111011002221.

It is a happy number.

It is a super-2 number, since 2×122200110111122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12220011011091 and 12220011011100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9779464 + ... + 10958007.

It is an arithmetic number, because the mean of its divisors is an integer number (489300651840).

Almost surely, 212220011011112 is an apocalyptic number.

12220011011112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12220011011112 is an abundant number, since it is smaller than the sum of its proper divisors (19095230706648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12220011011112 is a wasteful number, since it uses less digits than its factorization.

12220011011112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20738094 (or 20738090 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12220011011112 its reverse (21111011002221), we get a palindrome (33331022013333).

The spelling of 12220011011112 in words is "twelve trillion, two hundred twenty billion, eleven million, eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 516 571 1032 1142 1713 2284 3426 4568 6852 13704 24553 49106 73659 98212 147318 196424 294636 589272 20737471 41474942 62212413 82949884 124424826 165899768 248849652 497699304 891711253 1783422506 2675133759 3566845012 5350267518 7133690024 10700535036 11841095941 21401070072 23682191882 35523287823 47364383764 71046575646 94728767528 142093151292 284186302584 509167125463 1018334250926 1527501376389 2036668501852 3055002752778 4073337003704 6110005505556 12220011011112