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122131102221220 = 2259296573256309
BaseRepresentation
bin11011110001001111011100…
…111101101100001110100100
3121000102121201111120202210111
4123301033130331230032210
5112001443444132034340
61111430130453302404
734503452365163431
oct3361173475541644
9530377644522714
10122131102221220
1135a07567286254
12118459ab034a04
13531bbb5013571
142223269544b88
15e1bd9c11aaea
hex6f13dcf6c3a4

122131102221220 has 24 divisors (see below), whose sum is σ = 256751391468600. Its totient is φ = 48799854830592.

The previous prime is 122131102221199. The next prime is 122131102221221. The reversal of 122131102221220 is 22122201131221.

It can be written as a sum of positive squares in 4 ways, for example, as 16363206161316 + 105767896059904 = 4045146^2 + 10284352^2 .

It is a super-2 number, since 2×1221311022212202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122131102221191 and 122131102221200.

It is not an unprimeable number, because it can be changed into a prime (122131102221221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3286609575 + ... + 3286646734.

It is an arithmetic number, because the mean of its divisors is an integer number (10697974644525).

Almost surely, 2122131102221220 is an apocalyptic number.

122131102221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122131102221220 is an abundant number, since it is smaller than the sum of its proper divisors (134620289247380).

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

122131102221220 is a wasteful number, since it uses less digits than its factorization.

122131102221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6573257247 (or 6573257245 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 122131102221220 its reverse (22122201131221), we get a palindrome (144253303352441).

The spelling of 122131102221220 in words is "one hundred twenty-two trillion, one hundred thirty-one billion, one hundred two million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 929 1858 3716 4645 9290 18580 6573256309 13146512618 26293025236 32866281545 65732563090 131465126180 6106555111061 12213110222122 24426220444244 30532775555305 61065551110610 122131102221220