Search a number
-
+
11121211120212 = 22332947113668581
BaseRepresentation
bin1010000111010101101111…
…0101101001101001010100
31110101011210022202120102000
42201311123311221221110
52424202220021321322
635353002554315300
72225323656540414
oct241653365515124
943334708676360
1011121211120212
1135a852a825626
1212b7447128b30
136289584c72ab
142a63ab6a4644
1514444cb453ac
hexa1d5bd69a54

11121211120212 has 192 divisors, whose sum is σ = 30731237913600. Its totient is φ = 3472080353280.

The previous prime is 11121211120189. The next prime is 11121211120301. The reversal of 11121211120212 is 21202111212111.

It is a happy number.

11121211120212 is a `hidden beast` number, since 1 + 1 + 121 + 211 + 120 + 212 = 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 (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16299762 + ... + 16968342.

It is an arithmetic number, because the mean of its divisors is an integer number (160058530800).

Almost surely, 211121211120212 is an apocalyptic number.

11121211120212 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 11121211120212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15365618956800).

11121211120212 is an abundant number, since it is smaller than the sum of its proper divisors (19610026793388).

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

11121211120212 is a wasteful number, since it uses less digits than its factorization.

11121211120212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668783 (or 668775 counting only the distinct ones).

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

Adding to 11121211120212 its reverse (21202111212111), we get a palindrome (32323322332323).

The spelling of 11121211120212 in words is "eleven trillion, one hundred twenty-one billion, two hundred eleven million, one hundred twenty thousand, two hundred twelve".