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12011111010020 = 2253208918715309
BaseRepresentation
bin1010111011001000111000…
…0000010100111011100100
31120112020202222101220011002
42232302032000110323210
53033242223404310040
641313454521332432
72346526346024513
oct256621600247344
946466688356132
1012011111010020
11391097a044111
12141ba00937118
13691848614225
142d74ab50867a
1515c6835dba15
hexaec8e014ee4

12011111010020 has 24 divisors (see below), whose sum is σ = 25224120511800. Its totient is φ = 4804294424832.

The previous prime is 12011111009999. The next prime is 12011111010037. The reversal of 12011111010020 is 2001011111021.

It can be written as a sum of positive squares in 4 ways, for example, as 311482307236 + 11699628702784 = 558106^2 + 3420472^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12011111009983 and 12011111010010.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8715875 + ... + 9999434.

It is an arithmetic number, because the mean of its divisors is an integer number (1051005021325).

Almost surely, 212011111010020 is an apocalyptic number.

12011111010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011111010020 is an abundant number, since it is smaller than the sum of its proper divisors (13213009501780).

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

12011111010020 is a wasteful number, since it uses less digits than its factorization.

12011111010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18747407 (or 18747405 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 12011111010020 its reverse (2001011111021), we get a palindrome (14012122121041).

The spelling of 12011111010020 in words is "twelve trillion, eleven billion, one hundred eleven million, ten thousand, twenty".

Divisors: 1 2 4 5 10 20 32089 64178 128356 160445 320890 641780 18715309 37430618 74861236 93576545 187153090 374306180 600555550501 1201111101002 2402222202004 3002777752505 6005555505010 12011111010020