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20121221201026 = 2112314575868959
BaseRepresentation
bin1001001001100110101100…
…01111011111110010000010
32122020120101111112120000211
410210303112033133302002
510114131230111413101
6110443321133104334
74144465422153061
oct444632617376202
978216344476024
1020121221201026
1164583a8899600
12230b7643280aa
13b2c5664a655a
144d7c2d8521d8
1524d5ec163c51
hex124cd63dfc82

20121221201026 has 48 divisors (see below), whose sum is σ = 34320175626240. Its totient is φ = 8831607998400.

The previous prime is 20121221201009. The next prime is 20121221201027. The reversal of 20121221201026 is 62010212212102.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 20121221200988 and 20121221201006.

It is not an unprimeable number, because it can be changed into a prime (20121221201027) 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 23 ways as a sum of consecutive naturals, for example, 493935 + ... + 6362893.

It is an arithmetic number, because the mean of its divisors is an integer number (715003658880).

Almost surely, 220121221201026 is an apocalyptic number.

20121221201026 is a deficient number, since it is larger than the sum of its proper divisors (14198954425214).

20121221201026 is a wasteful number, since it uses less digits than its factorization.

20121221201026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5869471 (or 5869460 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 20121221201026 its reverse (62010212212102), we get a palindrome (82131433413128).

The spelling of 20121221201026 in words is "twenty trillion, one hundred twenty-one billion, two hundred twenty-one million, two hundred one thousand, twenty-six".

Divisors: 1 2 11 22 31 62 121 242 341 457 682 914 3751 5027 7502 10054 14167 28334 55297 110594 155837 311674 1714207 3428414 5868959 11737918 64558549 129117098 181937729 363875458 710144039 1420288078 2001315019 2682114263 4002630038 5364228526 22014465209 29503256893 44028930418 59006513786 83145542153 166291084306 324535825823 649071651646 914600963683 1829201927366 10060610600513 20121221201026