Search a number
-
+
12200211220020 = 2235691092942263
BaseRepresentation
bin1011000110001001010101…
…0000011000011000110100
31121012022212200210212200120
42301202111100120120310
53044342013033020040
641540411043211540
72366302415214225
oct261422520303064
947168780725616
1012200211220020
1139840981a17aa
121450596076bb0
136a66236c4005
143026c9b6324c
1516254ebb87d0
hexb1895418634

12200211220020 has 48 divisors (see below), whose sum is σ = 34161097326720. Its totient is φ = 3253341476736.

The previous prime is 12200211219967. The next prime is 12200211220039. The reversal of 12200211220020 is 2002211200221.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2675409 + ... + 5617671.

It is an arithmetic number, because the mean of its divisors is an integer number (711689527640).

Almost surely, 212200211220020 is an apocalyptic number.

12200211220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12200211220020 is an abundant number, since it is smaller than the sum of its proper divisors (21960886106700).

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

12200211220020 is a wasteful number, since it uses less digits than its factorization.

12200211220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3011384 (or 3011382 counting only the distinct ones).

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

Adding to 12200211220020 its reverse (2002211200221), we get a palindrome (14202422420241).

The spelling of 12200211220020 in words is "twelve trillion, two hundred billion, two hundred eleven million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 69109 138218 207327 276436 345545 414654 691090 829308 1036635 1382180 2073270 2942263 4146540 5884526 8826789 11769052 14711315 17653578 29422630 35307156 44133945 58845260 88267890 176535780 203336853667 406673707334 610010561001 813347414668 1016684268335 1220021122002 2033368536670 2440042244004 3050052805005 4066737073340 6100105610010 12200211220020