Search a number
-
+
12220112200020 = 22353894911066333
BaseRepresentation
bin1011000111010011011101…
…1100100110000101010100
31121021020020122000102000220
42301310313130212011110
53100203242210400040
641553501514234340
72400605525600124
oct261646734460524
947236218012026
1012220112200020
11399157a83960a
12145440aa259b0
136a847570c21a
14303656c30c84
15162d16dc52d0
hexb1d37726154

12220112200020 has 96 divisors (see below), whose sum is σ = 34374172210560. Its totient is φ = 3243696637440.

The previous prime is 12220112200007. The next prime is 12220112200091. The reversal of 12220112200020 is 2000221102221.

12220112200020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122201122000202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10926774 + ... + 11993106.

It is an arithmetic number, because the mean of its divisors is an integer number (358064293860).

Almost surely, 212220112200020 is an apocalyptic number.

12220112200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220112200020 is an abundant number, since it is smaller than the sum of its proper divisors (22154060010540).

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

12220112200020 is a wasteful number, since it uses less digits than its factorization.

12220112200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067225 (or 1067223 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12220112200020 its reverse (2000221102221), we get a palindrome (14220333302241).

The spelling of 12220112200020 in words is "twelve trillion, two hundred twenty billion, one hundred twelve million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 389 491 778 982 1167 1473 1556 1945 1964 2334 2455 2946 3890 4668 4910 5835 5892 7365 7780 9820 11670 14730 23340 29460 190999 381998 572997 763996 954995 1066333 1145994 1909990 2132666 2291988 2864985 3198999 3819980 4265332 5331665 5729970 6397998 10663330 11459940 12795996 15994995 21326660 31989990 63979980 414803537 523569503 829607074 1047139006 1244410611 1570708509 1659214148 2074017685 2094278012 2488821222 2617847515 3141417018 4148035370 4977642444 5235695030 6222053055 6282834036 7853542545 8296070740 10471390060 12444106110 15707085090 24888212220 31414170180 203668536667 407337073334 611005610001 814674146668 1018342683335 1222011220002 2036685366670 2444022440004 3055028050005 4073370733340 6110056100010 12220112200020