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2412221221212 = 22311241131309311
BaseRepresentation
bin100011000110100011100…
…101101100100101011100
322112121100211210120202120
4203012203211230211130
5304010212113034322
65044054212222540
7336164043033435
oct43064345544534
98477324716676
102412221221212
11850020aa1600
1232b60800aa50
13146618b1174a
1484a75bb848c
1542b32793a5c
hex231a396c95c

2412221221212 has 144 divisors (see below), whose sum is σ = 6386011011072. Its totient is φ = 707701280000.

The previous prime is 2412221221159. The next prime is 2412221221307. The reversal of 2412221221212 is 2121221222142.

It is a super-2 number, since 2×24122212212122 (a number of 26 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7644037 + ... + 7953347.

It is an arithmetic number, because the mean of its divisors is an integer number (44347298688).

Almost surely, 22412221221212 is an apocalyptic number.

2412221221212 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 2412221221212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3193005505536).

2412221221212 is an abundant number, since it is smaller than the sum of its proper divisors (3973789789860).

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

2412221221212 is a wasteful number, since it uses less digits than its factorization.

2412221221212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309512 (or 309499 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

Adding to 2412221221212 its reverse (2121221222142), we get a palindrome (4533442443354).

The spelling of 2412221221212 in words is "two trillion, four hundred twelve billion, two hundred twenty-one million, two hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 121 123 131 132 164 242 246 262 363 393 451 484 492 524 726 786 902 1353 1441 1452 1572 1804 2706 2882 4323 4961 5371 5412 5764 8646 9922 10742 14883 15851 16113 17292 19844 21484 29766 31702 32226 47553 59081 59532 63404 64452 95106 118162 177243 190212 236324 309311 354486 618622 649891 708972 927933 1237244 1299782 1855866 1949673 2599564 3402421 3711732 3899346 6804842 7798692 10207263 12681751 13609684 20414526 25363502 37426631 38045253 40519741 40829052 50727004 74853262 76090506 81039482 112279893 121559223 139499261 149706524 152181012 162078964 224559786 243118446 278998522 418497783 445717151 449119572 486236892 557997044 836995566 891434302 1337151453 1534491871 1661309381 1673991132 1782868604 2674302906 3068983742 3322618762 4603475613 4902888661 4983928143 5348605812 6137967484 6645237524 9206951226 9805777322 9967856286 14708665983 18274403191 18413902452 19611554644 19935712572 29417331966 36548806382 54823209573 58834663932 73097612764 109646419146 201018435101 219292838292 402036870202 603055305303 804073740404 1206110610606 2412221221212