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122021122200201 = 32737353148292107
BaseRepresentation
bin11011101111101001000001…
…101001001101001010001001
3121000001002211210202211102200
4123233221001221031022021
5111443143224240401301
61111303421335550413
734462510105343640
oct3357510151151211
9530032753684380
10122021122200201
113597495a4416a4
1211828616b2b409
1353117089c0353
14221bbd4c82357
15e190b1b6cc86
hex6efa41a4d289

122021122200201 has 48 divisors (see below), whose sum is σ = 207461845428864. Its totient is φ = 67649672420352.

The previous prime is 122021122200163. The next prime is 122021122200221. The reversal of 122021122200201 is 102002221120221.

It is a happy number.

122021122200201 is a `hidden beast` number, since 1 + 220 + 21 + 1 + 2 + 220 + 0 + 201 = 666.

It is not a de Polignac number, because 122021122200201 - 217 = 122021122069129 is a prime.

It is a super-2 number, since 2×1220211222002012 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122021122200221) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 73323211 + ... + 74968896.

It is an arithmetic number, because the mean of its divisors is an integer number (4322121779768).

Almost surely, 2122021122200201 is an apocalyptic number.

It is an amenable number.

122021122200201 is a deficient number, since it is larger than the sum of its proper divisors (85440723228663).

122021122200201 is a wasteful number, since it uses less digits than its factorization.

122021122200201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148292510 (or 148292507 counting only the distinct ones).

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

Adding to 122021122200201 its reverse (102002221120221), we get a palindrome (224023343320422).

The spelling of 122021122200201 in words is "one hundred twenty-two trillion, twenty-one billion, one hundred twenty-two million, two hundred thousand, two hundred one".

Divisors: 1 3 7 9 21 37 63 111 259 333 353 777 1059 2331 2471 3177 7413 13061 22239 39183 91427 117549 274281 822843 148292107 444876321 1038044749 1334628963 3114134247 5486807959 9342402741 16460423877 38407655713 49381271631 52347113771 115222967139 157041341313 345668901417 366429796397 471124023939 1099289389191 1936843209527 3297868167573 5810529628581 13557902466689 17431588885743 40673707400067 122021122200201