Search a number
-
+
1221112221012 = 223313997807787
BaseRepresentation
bin10001110001001111111…
…101011100110101010100
311022201220102002001122000
4101301033331130311110
5130001314212033022
62332545440435300
7154136204422545
oct21611775346524
94281812061560
101221112221012
11430964018232
121787b0018b30
138b1c5531a88
14431604104cc
1521b6d4036ac
hex11c4ff5cd54

1221112221012 has 48 divisors (see below), whose sum is σ = 3166076598720. Its totient is φ = 407007822816.

The previous prime is 1221112221011. The next prime is 1221112221041. The reversal of 1221112221012 is 2101222111221.

It is a super-2 number, since 2×12211122210122 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221112221011) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1107783 + ... + 1915569.

It is an arithmetic number, because the mean of its divisors is an integer number (65959929140).

Almost surely, 21221112221012 is an apocalyptic number.

1221112221012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1221112221012 is an abundant number, since it is smaller than the sum of its proper divisors (1944964377708).

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

1221112221012 is a wasteful number, since it uses less digits than its factorization.

1221112221012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821797 (or 821789 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1221112221012 its reverse (2101222111221), we get a palindrome (3322334332233).

The spelling of 1221112221012 in words is "one trillion, two hundred twenty-one billion, one hundred twelve million, two hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 13997 27994 41991 55988 83982 125973 167964 251946 377919 503892 755838 807787 1511676 1615574 2423361 3231148 4846722 7270083 9693444 14540166 21810249 29080332 43620498 87240996 11306594639 22613189278 33919783917 45226378556 67839567834 101759351751 135679135668 203518703502 305278055253 407037407004 610556110506 1221112221012