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12011322211300 = 2252120113222113
BaseRepresentation
bin1010111011001001101010…
…0101111111101111100100
31120112021022200211000211201
42232302122211333233210
53033243141441230200
641313531504212244
72346534522143626
oct256623245775744
946467280730751
1012011322211300
113910a78287825
12141ba5b60a084
136918802c0ab9
142d74cb5a4c16
1515c696e09c6a
hexaec9a97fbe4

12011322211300 has 18 divisors (see below), whose sum is σ = 26064569198738. Its totient is φ = 4804528884480.

The previous prime is 12011322211279. The next prime is 12011322211309. The reversal of 12011322211300 is 311222311021.

It can be written as a sum of positive squares in 3 ways, for example, as 2916369076644 + 9094953134656 = 1707738^2 + 3015784^2 .

It is a super-2 number, since 2×120113222113002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12011322211309) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 60056610957 + ... + 60056611156.

Almost surely, 212011322211300 is an apocalyptic number.

12011322211300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011322211300 is an abundant number, since it is smaller than the sum of its proper divisors (14053246987438).

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

12011322211300 is a wasteful number, since it uses less digits than its factorization.

12011322211300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120113222127 (or 120113222120 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 12011322211300 its reverse (311222311021), we get a palindrome (12322544522321).

The spelling of 12011322211300 in words is "twelve trillion, eleven billion, three hundred twenty-two million, two hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 120113222113 240226444226 480452888452 600566110565 1201132221130 2402264442260 3002830552825 6005661105650 12011322211300