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12220112101164 = 22311216142839707
BaseRepresentation
bin1011000111010011011101…
…1100001101111100101100
31121021020020121211101102120
42301310313130031330230
53100203242144214124
641553501512152540
72400605525005662
oct261646734157454
947236217741376
1012220112101164
11399157a781310
12145440a998750
136a84756a6226
14303656c06c32
15162d16da5d79
hexb1d3770df2c

12220112101164 has 48 divisors (see below), whose sum is σ = 31120134761856. Its totient is φ = 3701350598400.

The previous prime is 12220112101163. The next prime is 12220112101201. The reversal of 12220112101164 is 46110121102221.

It is a super-2 number, since 2×122201121011642 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12220112101163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21134602 + ... + 21705105.

It is an arithmetic number, because the mean of its divisors is an integer number (648336140872).

Almost surely, 212220112101164 is an apocalyptic number.

It is an amenable number.

12220112101164 is an abundant number, since it is smaller than the sum of its proper divisors (18900022660692).

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

12220112101164 is a wasteful number, since it uses less digits than its factorization.

12220112101164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42841886 (or 42841884 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 12220112101164 its reverse (46110121102221), we get a palindrome (58330233203385).

The spelling of 12220112101164 in words is "twelve trillion, two hundred twenty billion, one hundred twelve million, one hundred one thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 2161 4322 6483 8644 12966 23771 25932 47542 71313 95084 142626 285252 42839707 85679414 128519121 171358828 257038242 471236777 514076484 942473554 1413710331 1884947108 2827420662 5654841324 92576606827 185153213654 277729820481 370306427308 555459640962 1018342675097 1110919281924 2036685350194 3055028025291 4073370700388 6110056050582 12220112101164