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221212212211120 = 24513712995831693
BaseRepresentation
bin110010010011000011111011…
…010101000010110110110000
31002000020200101102020021111011
4302103003323111002312300
5212443320102311223440
62102251253134200304
764411024560202504
oct6223037325026660
91060220342207434
10221212212211120
1164537632891439
12209884aa353094
1396582b6c63530
143c8aa2a268304
151a89385ced9ea
hexc930fb542db0

221212212211120 has 80 divisors (see below), whose sum is σ = 561682492644672. Its totient is φ = 80527955880960.

The previous prime is 221212212211079. The next prime is 221212212211171. The reversal of 221212212211120 is 21112212212122.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 221212212211091 and 221212212211100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1497842007 + ... + 1497989686.

Almost surely, 2221212212211120 is an apocalyptic number.

221212212211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221212212211120 is an abundant number, since it is smaller than the sum of its proper divisors (340470280433552).

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

221212212211120 is a wasteful number, since it uses less digits than its factorization.

221212212211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2995831790 (or 2995831784 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 221212212211120 its reverse (21112212212122), we get a palindrome (242324424423242).

The spelling of 221212212211120 in words is "two hundred twenty-one trillion, two hundred twelve billion, two hundred twelve million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 71 80 104 130 142 208 260 284 355 520 568 710 923 1040 1136 1420 1846 2840 3692 4615 5680 7384 9230 14768 18460 36920 73840 2995831693 5991663386 11983326772 14979158465 23966653544 29958316930 38945812009 47933307088 59916633860 77891624018 119833267720 155783248036 194729060045 212704050203 239666535440 311566496072 389458120090 425408100406 623132992144 778916240180 850816200812 1063520251015 1557832480360 1701632401624 2127040502030 2765152652639 3115664960720 3403264803248 4254081004060 5530305305278 8508162008120 11060610610556 13825763263195 17016324016240 22121221221112 27651526526390 44242442442224 55303053052780 110606106105560 221212212211120