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122211222001 = 11192291975387
BaseRepresentation
bin111000111010001011…
…0110100000111110001
3102200110002222022211121
41301310112310013301
54000242033101001
6132050522342241
711554336150531
oct1616426640761
9380402868747
10122211222001
1147914059a20
121b82835a981
13b6a834785b
145cb4ca54c1
1532a418c6a1
hex1c745b41f1

122211222001 has 48 divisors (see below), whose sum is σ = 146325579840. Its totient is φ = 101089618560.

The previous prime is 122211221983. The next prime is 122211222109. The reversal of 122211222001 is 100222112221.

It is a happy number.

It is not a de Polignac number, because 122211222001 - 213 = 122211213809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122211228001) 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, 22683630 + ... + 22689016.

It is an arithmetic number, because the mean of its divisors is an integer number (3048449580).

Almost surely, 2122211222001 is an apocalyptic number.

122211222001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122211222001 is a deficient number, since it is larger than the sum of its proper divisors (24114357839).

122211222001 is a wasteful number, since it uses less digits than its factorization.

122211222001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5662 (or 5643 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122211222001 its reverse (100222112221), we get a palindrome (222433334222).

The spelling of 122211222001 in words is "one hundred twenty-two billion, two hundred eleven million, two hundred twenty-two thousand, one".

Divisors: 1 11 19 29 197 209 319 361 551 2167 3743 3971 5387 5713 6061 10469 41173 59257 62843 71117 102353 108547 115159 156223 782287 1061239 1125883 1194017 1718453 1944707 2062393 2968237 11673629 20163541 21391777 22686323 30775931 32650607 56396503 221798951 338535241 383107279 584742689 620361533 4214180069 6432169579 11110111091 122211222001