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220222111121012 = 2272111316134871183
BaseRepresentation
bin110010000100101001110100…
…101101000111111001110100
31001212202000202120100120120102
4302010221310231013321310
5212331104340421333022
62100212350255453232
764246344131613200
oct6204516455077164
91055660676316512
10220222111121012
1164195744605010
122084862b527218
1395b5b1874c430
143c54b4278bb00
151a6d738627a92
hexc84a74b47e74

220222111121012 has 144 divisors (see below), whose sum is σ = 527011682303232. Its totient is φ = 79151641470720.

The previous prime is 220222111121011. The next prime is 220222111121059. The reversal of 220222111121012 is 210121111222022.

220222111121012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220222111121011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42773573 + ... + 47644755.

It is an arithmetic number, because the mean of its divisors is an integer number (3659803349328).

Almost surely, 2220222111121012 is an apocalyptic number.

220222111121012 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 220222111121012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263505841151616).

220222111121012 is an abundant number, since it is smaller than the sum of its proper divisors (306789571182220).

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

220222111121012 is a wasteful number, since it uses less digits than its factorization.

220222111121012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4872838 (or 4872829 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 220222111121012 its reverse (210121111222022), we get a palindrome (430343222343034).

The spelling of 220222111121012 in words is "two hundred twenty trillion, two hundred twenty-two billion, one hundred eleven million, one hundred twenty-one thousand, twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 77 91 98 143 154 182 196 286 308 364 539 572 637 1001 1078 1274 1613 2002 2156 2548 3226 4004 6452 7007 11291 14014 17743 20969 22582 28028 35486 41938 45164 70972 79037 83876 124201 146783 158074 230659 248402 293566 316148 461318 496804 587132 869407 922636 1027481 1614613 1738814 2054962 3229226 3477628 4109924 4871183 6458452 9742366 11302291 19484732 22604582 34098281 45209164 53583013 63325379 68196562 107166026 126650758 136393124 214332052 238687967 253301516 375081091 443277653 477375934 696579169 750162182 886555306 954751868 1393158338 1500324364 1773110612 2625567637 2786316676 3102943571 4876054183 5251135274 6205887142 7857218179 9752108366 10502270548 12411774284 15714436358 19504216732 31428872716 34132379281 55000527253 68264758562 86429399969 102143836327 110001054506 136529517124 172858799938 204287672654 220002109012 345717599876 385003690771 408575345308 605005799783 715006854289 770007381542 1123582199597 1210011599566 1430013708578 1540014763084 2247164399194 2420023199132 2860027417156 4235040598481 4494328798388 5005047980023 7865075397179 8470081196962 10010095960046 15730150794358 16940162393924 20020191920092 31460301588716 55055527780253 110111055560506 220222111121012