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122220210000220 = 225171849319438231
BaseRepresentation
bin11011110010100010011100…
…001100111001000101011100
3121000202010201120120221210121
4123302202130030321011130
5112004423442230001340
61111535104522244324
734513055511620533
oct3362423414710534
9530663646527717
10122220210000220
1135a413332a8512
121185b1190566a4
135327416033b07
1422276bdb4d31a
15e1e364ea594a
hex6f289c33915c

122220210000220 has 48 divisors (see below), whose sum is σ = 271774940931648. Its totient is φ = 46009823892480.

The previous prime is 122220210000167. The next prime is 122220210000263. The reversal of 122220210000220 is 22000012022221.

122220210000220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 122220210000194 and 122220210000203.

It is a congruent number.

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, 3431496 + ... + 16006735.

It is an arithmetic number, because the mean of its divisors is an integer number (5661977936076).

Almost surely, 2122220210000220 is an apocalyptic number.

122220210000220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122220210000220 is an abundant number, since it is smaller than the sum of its proper divisors (149554730931428).

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

122220210000220 is a wasteful number, since it uses less digits than its factorization.

122220210000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19456750 (or 19456748 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 122220210000220 its reverse (22000012022221), we get a palindrome (144220222022441).

The spelling of 122220210000220 in words is "one hundred twenty-two trillion, two hundred twenty billion, two hundred ten million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 18493 36986 73972 92465 184930 314381 369860 628762 1257524 1571905 3143810 6287620 19438231 38876462 77752924 97191155 194382310 330449927 388764620 660899854 1321799708 1652249635 3304499270 6608998540 359471205883 718942411766 1437884823532 1797356029415 3594712058830 6111010500011 7189424117660 12222021000022 24444042000044 30555052500055 61110105000110 122220210000220