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12011322113300 = 2252354013392933
BaseRepresentation
bin1010111011001001101010…
…0101100111110100010100
31120112021022200122001102002
42232302122211213310110
53033243141430111200
641313531502134432
72346534521255126
oct256623245476424
946467280561362
1012011322113300
113910a78220134
12141ba5b581418
13691880288303
142d74cb57b216
1515c696ddabd5
hexaec9a967d14

12011322113300 has 36 divisors (see below), whose sum is σ = 26065312934556. Its totient is φ = 4804391712000.

The previous prime is 12011322113299. The next prime is 12011322113317. The reversal of 12011322113300 is 331122311021.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 239712076816 + 11771610036484 = 489604^2 + 3430978^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 1843634 + ... + 5236566.

Almost surely, 212011322113300 is an apocalyptic number.

12011322113300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011322113300 is an abundant number, since it is smaller than the sum of its proper divisors (14053990821256).

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

12011322113300 is a wasteful number, since it uses less digits than its factorization.

12011322113300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3428348 (or 3428341 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 12011322113300 its reverse (331122311021), we get a palindrome (12342444424321).

The spelling of 12011322113300 in words is "twelve trillion, eleven billion, three hundred twenty-two million, one hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 35401 70802 141604 177005 354010 708020 885025 1770050 3392933 3540100 6785866 13571732 16964665 33929330 67858660 84823325 169646650 339293300 120113221133 240226442266 480452884532 600566105665 1201132211330 2402264422660 3002830528325 6005661056650 12011322113300