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122200220112201 = 32711216451974437
BaseRepresentation
bin11011110010001111110100…
…101101100001010101001001
3121000200020010110002102120200
4123302033310231201111021
5112004112022322042301
61111522001153442413
734511450241440610
oct3362176455412511
9530606113072520
10122200220112201
1135a33905555800
121185727a570409
13532557b7899ca
142226744d3a877
15e1da95085c86
hex6f23f4b61549

122200220112201 has 72 divisors (see below), whose sum is σ = 221747071396032. Its totient is φ = 63476709912000.

The previous prime is 122200220112193. The next prime is 122200220112221. The reversal of 122200220112201 is 102211022002221.

It is a happy number.

122200220112201 is a `hidden beast` number, since 1 + 2 + 220 + 0 + 220 + 1 + 1 + 220 + 1 = 666.

It is not a de Polignac number, because 122200220112201 - 23 = 122200220112193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122200220112221) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 124918755 + ... + 125893191.

It is an arithmetic number, because the mean of its divisors is an integer number (3079820436056).

Almost surely, 2122200220112201 is an apocalyptic number.

122200220112201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122200220112201 is a deficient number, since it is larger than the sum of its proper divisors (99546851283831).

122200220112201 is a wasteful number, since it uses less digits than its factorization.

122200220112201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990923 (or 990909 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122200220112201 its reverse (102211022002221), we get a palindrome (224411242114422).

The spelling of 122200220112201 in words is "one hundred twenty-two trillion, two hundred billion, two hundred twenty million, one hundred twelve thousand, two hundred one".

Divisors: 1 3 7 9 11 21 33 63 77 99 121 231 363 693 847 1089 2541 7623 16451 49353 115157 148059 180961 345471 542883 974437 1036413 1266727 1628649 1990571 2923311 3800181 5971713 6821059 8769933 10718807 11400543 13933997 17915139 20463177 32156421 41801991 61389531 75031649 96469263 117906877 125405973 225094947 353720631 675284841 825348139 1061161893 2476044417 7428133251 16030463087 48091389261 112213241609 144274167783 176335093957 336639724827 529005281871 1009919174481 1234345657699 1587015845613 1939686033527 3703036973097 5819058100581 11109110919291 13577802234689 17457174301743 40733406704067 122200220112201