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20121002022121 = 7211134170037983
BaseRepresentation
bin1001001001100110010010…
…01011011001010011101001
32122020112211020010010002121
410210303021023121103221
510114130303004201441
6110443243303231241
74144460121156400
oct444631113312351
978215736103077
1020121002022121
1164582a60a7210
12230b702a48521
13b2c52cc657b0
144d7c0c6ba637
1524d5d7cbbdd1
hex124cc92d94e9

20121002022121 has 48 divisors (see below), whose sum is σ = 28168716860928. Its totient is φ = 14119657171200.

The previous prime is 20121002022091. The next prime is 20121002022133. The reversal of 20121002022121 is 12122020012102.

It is a happy number.

It is not a de Polignac number, because 20121002022121 - 27 = 20121002021993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20121002022095 and 20121002022104.

It is not an unprimeable number, because it can be changed into a prime (20121002022221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34731705 + ... + 35306278.

It is an arithmetic number, because the mean of its divisors is an integer number (586848267936).

Almost surely, 220121002022121 is an apocalyptic number.

It is an amenable number.

20121002022121 is a deficient number, since it is larger than the sum of its proper divisors (8047714838807).

20121002022121 is a wasteful number, since it uses less digits than its factorization.

20121002022121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70038062 (or 70038055 counting only the distinct ones).

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

Adding to 20121002022121 its reverse (12122020012102), we get a palindrome (32243022034223).

The spelling of 20121002022121 in words is "twenty trillion, one hundred twenty-one billion, two million, twenty-two thousand, one hundred twenty-one".

Divisors: 1 7 11 13 41 49 77 91 143 287 451 533 539 637 1001 2009 3157 3731 5863 7007 22099 26117 41041 287287 70037983 490265881 770417813 910493779 2871557303 3431861167 5392924691 6373456453 10015431569 20100901121 31587130333 37330244939 37750472837 44614195171 70108020983 140706307847 221109912331 261311714573 410632694329 490756146881 1547769386317 1829182002011 2874428860303 20121002022121