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20121221002012 = 22133845811006151
BaseRepresentation
bin1001001001100110101100…
…01110101111001100011100
32122020120101111011110000221
410210303112032233030130
510114131230034031022
6110443321124531124
74144465420363624
oct444632616571434
978216344143027
1020121221002012
1164583a8773029
12230b764250aa4
13b2c566436ab0
144d7c2d7dd884
1524d5ec124cc7
hex124cd63af31c

20121221002012 has 24 divisors (see below), whose sum is σ = 37920898949472. Its totient is φ = 9286684008000.

The previous prime is 20121221002007. The next prime is 20121221002013. The reversal of 20121221002012 is 21020012212102.

It is a happy number.

It is a super-2 number, since 2×201212210020122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121221002013) 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 7 ways as a sum of consecutive naturals, for example, 19495137 + ... + 20501287.

It is an arithmetic number, because the mean of its divisors is an integer number (1580037456228).

Almost surely, 220121221002012 is an apocalyptic number.

It is an amenable number.

20121221002012 is a deficient number, since it is larger than the sum of its proper divisors (17799677947460).

20121221002012 is a wasteful number, since it uses less digits than its factorization.

20121221002012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390749 (or 1390747 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 20121221002012 its reverse (21020012212102), we get a palindrome (41141233214114).

The spelling of 20121221002012 in words is "twenty trillion, one hundred twenty-one billion, two hundred twenty-one million, two thousand, twelve".

Divisors: 1 2 4 13 26 52 384581 769162 1006151 1538324 2012302 4024604 4999553 9999106 13079963 19998212 26159926 52319852 386946557731 773893115462 1547786230924 5030305250503 10060610501006 20121221002012