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12211112122120 = 2352381128214113
BaseRepresentation
bin1011000110110001111100…
…0000000001011100001000
31121020101000101210002011101
42301230133000001130020
53100031324200401440
641545412451311144
72400136512313012
oct261543700013410
947211011702141
1012211112122120
1139887814a48aa
1214527188ab4b4
136a766cc32642
143030417d91b2
1516298bbd069a
hexb1b1f001708

12211112122120 has 32 divisors (see below), whose sum is σ = 27486541759320. Its totient is φ = 4882393384960.

The previous prime is 12211112122093. The next prime is 12211112122133. The reversal of 12211112122120 is 2122121111221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2702387483236 + 9508724638884 = 1643894^2 + 3083622^2 .

It is a super-2 number, since 2×122111121221202 (a number of 27 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 64011817 + ... + 64202296.

Almost surely, 212211112122120 is an apocalyptic number.

12211112122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211112122120 is an abundant number, since it is smaller than the sum of its proper divisors (15275429637200).

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

12211112122120 is a wasteful number, since it uses less digits than its factorization.

12211112122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128216505 (or 128216501 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 12211112122120 its reverse (2122121111221), we get a palindrome (14333233233341).

The spelling of 12211112122120 in words is "twelve trillion, two hundred eleven billion, one hundred twelve million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 2381 4762 9524 11905 19048 23810 47620 95240 128214113 256428226 512856452 641070565 1025712904 1282141130 2564282260 5128564520 305277803053 610555606106 1221111212212 1526389015265 2442222424424 3052778030530 6105556061060 12211112122120