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12220110201222 = 23271132992672573
BaseRepresentation
bin1011000111010011011101…
…0100111110000110000110
31121021020020111020212012100
42301310313110332012012
53100203241202414342
641553501403332530
72400605502603540
oct261646724760606
947236214225170
1012220110201222
1139915796a3910
12145440a221146
136a847518c4c1
14303656870690
15162d16b2ce4c
hexb1d3753e186

12220110201222 has 96 divisors (see below), whose sum is σ = 33020186284800. Its totient is φ = 3173091284160.

The previous prime is 12220110201217. The next prime is 12220110201259. The reversal of 12220110201222 is 22210201102221.

It is a happy number.

12220110201222 is a `hidden beast` number, since 12 + 220 + 1 + 10 + 201 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12220110201195 and 12220110201204.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3236128 + ... + 5908700.

It is an arithmetic number, because the mean of its divisors is an integer number (343960273800).

Almost surely, 212220110201222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12220110201222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16510093142400).

12220110201222 is an abundant number, since it is smaller than the sum of its proper divisors (20800076083578).

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

12220110201222 is a wasteful number, since it uses less digits than its factorization.

12220110201222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2675898 (or 2675895 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12220110201222 its reverse (22210201102221), we get a palindrome (34430311303443).

Subtracting 12220110201222 from its reverse (22210201102221), we obtain a palindrome (9990090900999).

The spelling of 12220110201222 in words is "twelve trillion, two hundred twenty billion, one hundred ten million, two hundred one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 3299 6598 9897 19794 23093 29691 36289 46186 59382 69279 72578 108867 138558 207837 217734 254023 326601 415674 508046 653202 762069 1524138 2286207 2672573 4572414 5345146 8017719 16035438 18708011 24053157 29398303 37416022 48106314 56124033 58796606 88194909 112248066 168372099 176389818 205788121 264584727 336744198 411576242 529169454 617364363 1234728726 1852093089 3704186178 8816818327 17633636654 26450454981 52900909962 61717728289 79351364943 96985001597 123435456578 158702729886 185153184867 193970003194 290955004791 370306369734 555459554601 581910009582 678895011179 872865014373 1110919109202 1357790022358 1745730028746 2036685033537 4073370067074 6110055100611 12220110201222