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122213200221 = 3474313033847
BaseRepresentation
bin111000111010001111…
…0010111000101011101
3102200110020200211110000
41301310132113011131
54000243034401341
6132051033004513
711554362030120
oct1616436270535
9380406624400
10122213200221
1147915190212
121b828b53739
13b6a888b0b8
145cb525c3b7
1532a442d8b6
hex1c7479715d

122213200221 has 80 divisors (see below), whose sum is σ = 213717796864. Its totient is φ = 68141951136.

The previous prime is 122213200211. The next prime is 122213200237. The reversal of 122213200221 is 122002312221.

122213200221 is a `hidden beast` number, since 122 + 2 + 1 + 320 + 0 + 221 = 666.

It is not a de Polignac number, because 122213200221 - 25 = 122213200189 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122213200194 and 122213200203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122213200211) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31766520 + ... + 31770366.

Almost surely, 2122213200221 is an apocalyptic number.

It is an amenable number.

122213200221 is a deficient number, since it is larger than the sum of its proper divisors (91504596643).

122213200221 is a wasteful number, since it uses less digits than its factorization.

122213200221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5212 (or 5203 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 122213200221 its reverse (122002312221), we get a palindrome (244215512442).

The spelling of 122213200221 in words is "one hundred twenty-two billion, two hundred thirteen million, two hundred thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 27 43 63 81 129 189 301 387 567 903 1161 1303 2709 3483 3847 3909 8127 9121 11541 11727 24381 26929 27363 34623 35181 56029 80787 82089 103869 105543 165421 168087 242361 246267 311607 392203 496263 504261 727083 738801 1157947 1176609 1488789 1512783 2181249 3473841 3529827 4466367 4538349 5012641 10421523 10589481 13399101 15037923 31264569 31768443 35088487 45113769 93793707 105265461 135341307 215543563 315796383 406023921 646630689 947389149 1508804941 1939892067 2842167447 4526414823 5819676201 13579244469 17459028603 40737733407 122213200221