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122101221212110 = 2573111149320273
BaseRepresentation
bin11011110000110011100111…
…111010101011111111001110
3121000022202121001012020020101
4123300303213322223333032
5112001001300112241420
61111404305431441314
734501344041614000
oct3360634772537716
9530282531166211
10122101221212110
11359a59232248a8
121184004bb2623a
1353191324b0c9a
142221a32c32370
15e1b1edb9860a
hex6f0ce7eabfce

122101221212110 has 64 divisors (see below), whose sum is σ = 256308876720000. Its totient is φ = 41862768493056.

The previous prime is 122101221212101. The next prime is 122101221212137. The reversal of 122101221212110 is 11212122101221.

It is a happy number.

It is a super-2 number, since 2×1221012212121102 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 381080934 + ... + 381401206.

It is an arithmetic number, because the mean of its divisors is an integer number (4004826198750).

Almost surely, 2122101221212110 is an apocalyptic number.

122101221212110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122101221212110 is an abundant number, since it is smaller than the sum of its proper divisors (134207655507890).

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

122101221212110 is a wasteful number, since it uses less digits than its factorization.

122101221212110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431450 (or 431436 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 122101221212110 its reverse (11212122101221), we get a palindrome (133313343313331).

The spelling of 122101221212110 in words is "one hundred twenty-two trillion, one hundred one billion, two hundred twenty-one million, two hundred twelve thousand, one hundred ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 343 490 686 1715 3430 111149 222298 320273 555745 640546 778043 1111490 1556086 1601365 2241911 3202730 3890215 4483822 5446301 7780430 10892602 11209555 15693377 22419110 27231505 31386754 38124107 54463010 76248214 78466885 109853639 156933770 190620535 219707278 381241070 549268195 1098536390 35598023677 71196047354 177990118385 249186165739 355980236770 498372331478 1245930828695 1744303160173 2491861657390 3488606320346 8721515800865 12210122121211 17443031601730 24420244242422 61050610606055 122101221212110