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12221122011021 = 3271131218350777
BaseRepresentation
bin1011000111010111001110…
…1000101101111110001101
31121021022212000011010022100
42301311303220231332031
53100212324213323041
641554150030105313
72400642540052410
oct261656350557615
947238760133270
1012221122011021
113991a48853560
12145465104b239
136a85a69a2c21
14303710db3b77
15162d758936b6
hexb1d73a2df8d

12221122011021 has 72 divisors (see below), whose sum is σ = 22741458547392. Its totient is φ = 6143839804800.

The previous prime is 12221122011017. The next prime is 12221122011061. The reversal of 12221122011021 is 12011022112221.

12221122011021 is a `hidden beast` number, since 122 + 211 + 220 + 110 + 2 + 1 = 666.

It is not a de Polignac number, because 12221122011021 - 22 = 12221122011017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12221122010985 and 12221122011003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221122011061) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8509416 + ... + 9841361.

It is an arithmetic number, because the mean of its divisors is an integer number (315853590936).

Almost surely, 212221122011021 is an apocalyptic number.

12221122011021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12221122011021 is a deficient number, since it is larger than the sum of its proper divisors (10520336536371).

12221122011021 is a wasteful number, since it uses less digits than its factorization.

12221122011021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18350863 (or 18350829 counting only the distinct ones).

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

Adding to 12221122011021 its reverse (12011022112221), we get a palindrome (24232144123242).

The spelling of 12221122011021 in words is "twelve trillion, two hundred twenty-one billion, one hundred twenty-two million, eleven thousand, twenty-one".

Divisors: 1 3 7 9 11 21 31 33 63 77 93 99 217 231 279 341 651 693 961 1023 1953 2387 2883 3069 6727 7161 8649 10571 20181 21483 31713 60543 73997 95139 221991 665973 18350777 55052331 128455439 165156993 201858547 385366317 568874087 605575641 1156098951 1413009829 1706622261 1816726923 3982118609 4239029487 5119866783 6257614957 11946355827 12717088461 17635096697 18772844871 35839067481 43803304699 52905290091 56318534613 123445676879 131409914097 158715870273 193986063667 370337030637 394229742291 581958191001 1111011091911 1357902445669 1745874573003 4073707337007 12221122011021