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212212211101220 = 225114339222309509
BaseRepresentation
bin110000010000000110000001…
…011101011010111000100100
31000211101021210212100001122102
4300100012001131122320210
5210303341102020214340
62031200535515551232
762461553264042321
oct6020060135327044
91024337725301572
10212212211101220
1161687769895440
121b97419415b518
1391546aaaa55c5
143a591a9373b48
1519801d74a3215
hexc1018175ae24

212212211101220 has 48 divisors (see below), whose sum is σ = 486270929793600. Its totient is φ = 77150291656320.

The previous prime is 212212211101217. The next prime is 212212211101229. The reversal of 212212211101220 is 22101112212212.

It is a super-2 number, since 2×2122122111012202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 212212211101192 and 212212211101201.

It is not an unprimeable number, because it can be changed into a prime (212212211101229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110200175 + ... + 112109334.

It is an arithmetic number, because the mean of its divisors is an integer number (10130644370700).

Almost surely, 2212212211101220 is an apocalyptic number.

212212211101220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212212211101220 is an abundant number, since it is smaller than the sum of its proper divisors (274058718692380).

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

212212211101220 is a wasteful number, since it uses less digits than its factorization.

212212211101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222313868 (or 222313866 counting only the distinct ones).

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

Adding to 212212211101220 its reverse (22101112212212), we get a palindrome (234313323313432).

The spelling of 212212211101220 in words is "two hundred twelve trillion, two hundred twelve billion, two hundred eleven million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 4339 8678 17356 21695 43390 47729 86780 95458 190916 238645 477290 954580 222309509 444619018 889238036 1111547545 2223095090 2445404599 4446190180 4890809198 9781618396 12227022995 24454045990 48908091980 964600959551 1929201919102 3858403838204 4823004797755 9646009595510 10610610555061 19292019191020 21221221110122 42442442220244 53053052775305 106106105550610 212212211101220