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2222120101212 = 223211232291065391
BaseRepresentation
bin100000010101100000101…
…011011110010101011100
321212102200101000002211100
4200111200223132111130
5242401400221214322
64420454453353100
7316354131133044
oct40254053362534
97772611002740
102222120101212
11787439959470
122ba7b3638790
1313171156651b
14797a0656724
153cc083a5dac
hex20560ade55c

2222120101212 has 144 divisors (see below), whose sum is σ = 6422012513280. Its totient is φ = 641279548800.

The previous prime is 2222120101207. The next prime is 2222120101219. The reversal of 2222120101212 is 2121010212222.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2222120101219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1553037 + ... + 2618427.

It is an arithmetic number, because the mean of its divisors is an integer number (44597309120).

Almost surely, 22222120101212 is an apocalyptic number.

2222120101212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2222120101212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3211006256640).

2222120101212 is an abundant number, since it is smaller than the sum of its proper divisors (4199892412068).

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

2222120101212 is a wasteful number, since it uses less digits than its factorization.

2222120101212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065664 (or 1065659 counting only the distinct ones).

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

Adding to 2222120101212 its reverse (2121010212222), we get a palindrome (4343130313434).

The spelling of 2222120101212 in words is "two trillion, two hundred twenty-two billion, one hundred twenty million, one hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 132 138 198 207 229 253 276 396 414 458 506 687 759 828 916 1012 1374 1518 2061 2277 2519 2748 3036 4122 4554 5038 5267 7557 8244 9108 10076 10534 15114 15801 21068 22671 30228 31602 45342 47403 57937 63204 90684 94806 115874 173811 189612 231748 347622 521433 695244 1042866 1065391 2085732 2130782 3196173 4261564 6392346 9588519 11719301 12784692 19177038 23438602 24503993 35157903 38354076 46877204 49007986 70315806 73511979 98015972 105473709 140631612 147023958 210947418 220535937 243974539 269543923 294047916 421894836 441071874 487949078 539087846 731923617 808631769 882143748 975898156 1078175692 1463847234 1617263538 2195770851 2425895307 2683719929 2927694468 3234527076 4391541702 4851790614 5367439858 5611414397 8051159787 8783083404 9703581228 10734879716 11222828794 16102319574 16834243191 22445657588 24153479361 32204639148 33668486382 48306958722 50502729573 61725558367 67336972764 96613917444 101005459146 123451116734 185176675101 202010918292 246902233468 370353350202 555530025303 740706700404 1111060050606 2222120101212