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1200000011112 = 233472910338831
BaseRepresentation
bin10001011101100101100…
…100110000101101101000
311020201102001201200020000
4101131211210300231220
5124130100000323422
62315134500503000
7152461055540310
oct21354544605550
94221361650200
101200000011112
11422a0a7a4481
121746996aaa60
138920c5bca96
144211a52c440
1521334bddcac
hex11765930b68

1200000011112 has 320 divisors, whose sum is σ = 3978024652800. Its totient is φ = 330676577280.

The previous prime is 1200000011081. The next prime is 1200000011123. The reversal of 1200000011112 is 2111100000021.

It is a happy number.

It is a super-3 number, since 3×12000000111123 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1200000011094 and 1200000011103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 135880537 + ... + 135889367.

It is an arithmetic number, because the mean of its divisors is an integer number (12431327040).

Almost surely, 21200000011112 is an apocalyptic number.

1200000011112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1200000011112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1989012326400).

1200000011112 is an abundant number, since it is smaller than the sum of its proper divisors (2778024641688).

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

1200000011112 is a wasteful number, since it uses less digits than its factorization.

1200000011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9918 (or 9905 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1200000011112 its reverse (2111100000021), we get a palindrome (3311100011133).

The spelling of 1200000011112 in words is "one trillion, two hundred billion, eleven thousand, one hundred twelve".