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12011210100020 = 2252332577512897
BaseRepresentation
bin1010111011001001001111…
…1010010100110100110100
31120112021000212212012002002
42232302103322110310310
53033242424241200040
641313512421234432
72346531661206605
oct256622372246464
946467025765062
1012011210100020
113910a1aa7397a
12141ba29b62a18
13691862cc9771
142d74ba73ddac
1515c68c161a15
hexaec93e94d34

12011210100020 has 24 divisors (see below), whose sum is σ = 25331796761544. Its totient is φ = 4783863934976.

The previous prime is 12011210099971. The next prime is 12011210100073. The reversal of 12011210100020 is 2000101211021.

It can be written as a sum of positive squares in 4 ways, for example, as 343288184464 + 11667921915556 = 585908^2 + 3415834^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12011210099974 and 12011210100010.

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 7 ways as a sum of consecutive naturals, for example, 1288751789 + ... + 1288761108.

It is an arithmetic number, because the mean of its divisors is an integer number (1055491531731).

Almost surely, 212011210100020 is an apocalyptic number.

12011210100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011210100020 is an abundant number, since it is smaller than the sum of its proper divisors (13320586661524).

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

12011210100020 is a wasteful number, since it uses less digits than its factorization.

12011210100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2577513139 (or 2577513137 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12011210100020 its reverse (2000101211021), we get a palindrome (14011311311041).

The spelling of 12011210100020 in words is "twelve trillion, eleven billion, two hundred ten million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 233 466 932 1165 2330 4660 2577512897 5155025794 10310051588 12887564485 25775128970 51550257940 600560505001 1201121010002 2402242020004 3002802525005 6005605050010 12011210100020