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12011022212020 = 22513317691937843
BaseRepresentation
bin1010111011001000100010…
…1101100101101110110100
31120112020112210022111012021
42232302020231211232310
53033242033141241040
641313442030202524
72346524220166306
oct256621055455664
946466483274167
1012011022212020
113910933a03937
12141b997053444
136918330c3430
142d749d7d1976
1515c67a8eb24a
hexaec88b65bb4

12011022212020 has 96 divisors (see below), whose sum is σ = 28076103982080. Its totient is φ = 4286196449280.

The previous prime is 12011022212003. The next prime is 12011022212053. The reversal of 12011022212020 is 2021222011021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12011022211985 and 12011022212003.

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 31 ways as a sum of consecutive naturals, for example, 5229219 + ... + 7167061.

It is an arithmetic number, because the mean of its divisors is an integer number (292459416480).

Almost surely, 212011022212020 is an apocalyptic number.

12011022212020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12011022212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14038051991040).

12011022212020 is an abundant number, since it is smaller than the sum of its proper divisors (16065081770060).

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

12011022212020 is a wasteful number, since it uses less digits than its factorization.

12011022212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938665 (or 1938663 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12011022212020 its reverse (2021222011021), we get a palindrome (14032244223041).

The spelling of 12011022212020 in words is "twelve trillion, eleven billion, twenty-two million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 124 130 155 260 310 403 620 769 806 1538 1612 2015 3076 3845 4030 7690 8060 9997 15380 19994 23839 39988 47678 49985 95356 99970 119195 199940 238390 309907 476780 619814 1239628 1549535 1937843 3099070 3875686 6198140 7751372 9689215 19378430 25191959 38756860 50383918 60073133 100767836 120146266 125959795 240292532 251919590 300365665 503839180 600731330 780950729 1201462660 1490201267 1561901458 2980402534 3123802916 3904753645 5960805068 7451006335 7809507290 14902012670 15619014580 19372616471 29804025340 38745232942 46196239277 77490465884 92392478554 96863082355 184784957108 193726164710 230981196385 387452329420 461962392770 600551110601 923924785540 1201102221202 2402204442404 3002755553005 6005511106010 12011022212020