Search a number
-
+
12212211101112 = 233311350384449
BaseRepresentation
bin1011000110110110000010…
…0000010010110110111000
31121020110211222200222221000
42301231200200102312320
53100041102020213422
641550113510245000
72400205655424261
oct261554040226670
947213758628830
1012212211101112
113989195882000
121452984956760
136a77b6816679
1430310774d968
15162a03413cac
hexb1b60812db8

12212211101112 has 256 divisors, whose sum is σ = 37387163520000. Its totient is φ = 3693269099520.

The previous prime is 12212211101107. The next prime is 12212211101131. The reversal of 12212211101112 is 21110111221221.

It is a happy number.

12212211101112 is a `hidden beast` number, since 1 + 221 + 221 + 110 + 1 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 144568264 + ... + 144652712.

It is an arithmetic number, because the mean of its divisors is an integer number (146043607500).

Almost surely, 212212211101112 is an apocalyptic number.

12212211101112 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 12212211101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18693581760000).

12212211101112 is an abundant number, since it is smaller than the sum of its proper divisors (25174952418888).

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

12212211101112 is a wasteful number, since it uses less digits than its factorization.

12212211101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85000 (or 84968 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 12212211101112 its reverse (21110111221221), we get a palindrome (33322322322333).

The spelling of 12212211101112 in words is "twelve trillion, two hundred twelve billion, two hundred eleven million, one hundred one thousand, one hundred twelve".