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122020222221 = 32194119191121
BaseRepresentation
bin111000110100011111…
…0001101010100001101
3102122221210120112101200
41301220332031110031
53444344134102341
6132015540500113
711546526530052
oct1615076152415
9378853515350
10122020222221
1147826263a67
121b7943aa639
13b6778c2031
145c97787029
15329250edb6
hex1c68f8d50d

122020222221 has 48 divisors (see below), whose sum is σ = 191050030080. Its totient is φ = 74791296000.

The previous prime is 122020222211. The next prime is 122020222223. The reversal of 122020222221 is 122222020221.

122020222221 is a `hidden beast` number, since 1 + 220 + 2 + 0 + 222 + 221 = 666.

It is not a de Polignac number, because 122020222221 - 26 = 122020222157 is a prime.

It is a super-3 number, since 3×1220202222213 (a number of 34 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122020222194 and 122020222203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122020222223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1293541 + ... + 1384661.

It is an arithmetic number, because the mean of its divisors is an integer number (3980208960).

Almost surely, 2122020222221 is an apocalyptic number.

It is an amenable number.

122020222221 is a deficient number, since it is larger than the sum of its proper divisors (69029807859).

122020222221 is a wasteful number, since it uses less digits than its factorization.

122020222221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91378 (or 91375 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 122020222221 its reverse (122222020221), we get a palindrome (244242242442).

The spelling of 122020222221 in words is "one hundred twenty-two billion, twenty million, two hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 19 41 57 123 171 191 369 573 779 1719 2337 3629 7011 7831 10887 23493 32661 70479 91121 148789 273363 446367 820089 1339101 1731299 3735961 5193897 11207883 15581691 17404111 33623649 52212333 70983259 156636999 212949777 330678109 638849331 713568551 992034327 2140705653 2976102981 6422116959 13557802469 40673407407 122020222221