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21222021120012 = 223231431094057211
BaseRepresentation
bin1001101001101001000110…
…00001111100000000001100
32210010210202010210102022200
410310310203001330000030
510240200144401320022
6113045132323441500
74320145316115666
oct464644301740014
983123663712280
1021222021120012
116842232735569
122468b77b26290
13bac2c6c0686b
14535219263536
1526c077e72bac
hex134d2307c00c

21222021120012 has 144 divisors (see below), whose sum is σ = 57182670504960. Its totient is φ = 6625261641600.

The previous prime is 21222021120011. The next prime is 21222021120071. The reversal of 21222021120012 is 21002112022212.

It is a happy number.

21222021120012 is a `hidden beast` number, since 21 + 2 + 220 + 211 + 200 + 12 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (21222021120011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3202087 + ... + 7259297.

Almost surely, 221222021120012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21222021120012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28591335252480).

21222021120012 is an abundant number, since it is smaller than the sum of its proper divisors (35960649384948).

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

21222021120012 is a wasteful number, since it uses less digits than its factorization.

21222021120012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4057404 (or 4057399 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21222021120012 its reverse (21002112022212), we get a palindrome (42224133142224).

The spelling of 21222021120012 in words is "twenty-one trillion, two hundred twenty-two billion, twenty-one million, one hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 43 62 86 93 109 124 129 172 186 218 258 279 327 372 387 436 516 558 654 774 981 1116 1308 1333 1548 1962 2666 3379 3924 3999 4687 5332 6758 7998 9374 10137 11997 13516 14061 15996 18748 20274 23994 28122 30411 40548 42183 47988 56244 60822 84366 121644 145297 168732 290594 435891 581188 871782 1307673 1743564 2615346 4057211 5230692 8114422 12171633 16228844 24343266 36514899 48686532 73029798 125773541 146059596 174460073 251547082 348920146 377320623 442235999 503094164 523380219 697840292 754641246 884471998 1046760438 1131961869 1326707997 1509282492 1570140657 1768943996 2093520876 2263923738 2653415994 3140281314 3980123991 4527847476 5306831988 5408262263 6280562628 7960247982 10816524526 13709315969 15920495964 16224786789 19016147957 21633049052 27418631938 32449573578 38032295914 41127947907 48674360367 54837263876 57048443871 64899147156 76064591828 82255895814 97348720734 114096887742 123383843721 164511791628 171145331613 194697441468 228193775484 246767687442 342290663226 493535374884 589500586667 684581326452 1179001173334 1768501760001 2358002346668 3537003520002 5305505280003 7074007040004 10611010560006 21222021120012