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12220010112222 = 23211711481586939
BaseRepresentation
bin1011000111010011000101…
…0111001010010011011110
31121021012222111220210220100
42301310301113022103132
53100203040042042342
641553443430201530
72400603146061063
oct261646127122336
947235874823810
1012220010112222
113991528151530
1214543a07b32a6
136a845a517343
14303647458c6a
15162d0ce5be4c
hexb1d315ca4de

12220010112222 has 96 divisors (see below), whose sum is σ = 29310299815680. Its totient is φ = 3648406608000.

The previous prime is 12220010112173. The next prime is 12220010112239. The reversal of 12220010112222 is 22221101002221.

It is a happy number.

12220010112222 is a `hidden beast` number, since 122 + 200 + 10 + 112 + 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 = 12220010112195 and 12220010112204.

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, 20526429 + ... + 21113367.

It is an arithmetic number, because the mean of its divisors is an integer number (305315623080).

Almost surely, 212220010112222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12220010112222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14655149907840).

12220010112222 is an abundant number, since it is smaller than the sum of its proper divisors (17090289703458).

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

12220010112222 is a wasteful number, since it uses less digits than its factorization.

12220010112222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588510 (or 588507 counting only the distinct ones).

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

Adding to 12220010112222 its reverse (22221101002221), we get a palindrome (34441111114443).

The spelling of 12220010112222 in words is "twelve trillion, two hundred twenty billion, ten million, one hundred twelve thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 71 99 142 198 213 426 639 781 1278 1481 1562 2343 2962 4443 4686 7029 8886 13329 14058 16291 26658 32582 48873 97746 105151 146619 210302 293238 315453 586939 630906 946359 1156661 1173878 1760817 1892718 2313322 3469983 3521634 5282451 6456329 6939966 10409949 10564902 12912658 19368987 20819898 38737974 41672669 58106961 83345338 116213922 125018007 250036014 375054021 458399359 750108042 869256659 916798718 1375198077 1738513318 2607769977 2750396154 4125594231 5215539954 7823309931 8251188462 9561823249 15646619862 19123646498 28685469747 57370939494 61717222789 86056409241 123434445578 172112818482 185151668367 370303336734 555455005101 678889450679 1110910010202 1357778901358 2036668352037 4073336704074 6110005056111 12220010112222