Search a number
-
+
12220211010222 = 2331920035946349
BaseRepresentation
bin1011000111010011110101…
…0101100001101010101110
31121021020111111221111011000
42301310331111201222232
53100203443004311342
641553515404141130
72400611135505405
oct261647525415256
947236444844130
1012220211010222
113991620598136
121454437b377a6
136a84900272b7
14303665dd263c
15162d208e244c
hexb1d3d561aae

12220211010222 has 64 divisors (see below), whose sum is σ = 28599564960000. Its totient is φ = 3857086737504.

The previous prime is 12220211010191. The next prime is 12220211010223. The reversal of 12220211010222 is 22201011202221.

It is a happy number.

12220211010222 is a `hidden beast` number, since 1 + 2 + 220 + 211 + 0 + 10 + 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 = 12220211010195 and 12220211010204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220211010223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 918097 + ... + 5028252.

It is an arithmetic number, because the mean of its divisors is an integer number (446868202500).

Almost surely, 212220211010222 is an apocalyptic number.

12220211010222 is an abundant number, since it is smaller than the sum of its proper divisors (16379353949778).

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

12220211010222 is a wasteful number, since it uses less digits than its factorization.

12220211010222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5948382 (or 5948376 counting only the distinct ones).

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

Adding to 12220211010222 its reverse (22201011202221), we get a palindrome (34421222212443).

The spelling of 12220211010222 in words is "twelve trillion, two hundred twenty billion, two hundred eleven million, ten thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 1026 2003 4006 6009 12018 18027 36054 38057 54081 76114 108162 114171 228342 342513 685026 1027539 2055078 5946349 11892698 17839047 35678094 53517141 107034282 112980631 160551423 225961262 321102846 338941893 677883786 1016825679 2033651358 3050477037 6100954074 11910537047 23821074094 35731611141 71463222282 107194833423 214389666846 226300203893 321584500269 452600407786 643169000538 678900611679 1357801223358 2036701835037 4073403670074 6110105505111 12220211010222