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122211111202201 = 725942272954411
BaseRepresentation
bin11011110010011001111101…
…110111101110110110011001
3121000201021020110121010101101
4123302121331313232312121
5112004301323431432301
61111531002011351401
734512314156251600
oct3362317567566631
9530637213533341
10122211111202201
1135a3849426692a
12118593b9a52561
1353265c5c71168
14222709957aa37
15e1ded12b0701
hex6f267ddeed99

122211111202201 has 12 divisors (see below), whose sum is σ = 144573504089040. Its totient is φ = 102976916942760.

The previous prime is 122211111202171. The next prime is 122211111202231. The reversal of 122211111202201 is 102202111112221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122211111202171) and next prime (122211111202231).

It is not a de Polignac number, because 122211111202201 - 213 = 122211111194009 is a prime.

It is a super-3 number, since 3×1222111112022013 (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122211111202231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21136474315 + ... + 21136480096.

It is an arithmetic number, because the mean of its divisors is an integer number (12047792007420).

Almost surely, 2122211111202201 is an apocalyptic number.

It is an amenable number.

122211111202201 is a deficient number, since it is larger than the sum of its proper divisors (22362392886839).

122211111202201 is an equidigital number, since it uses as much as digits as its factorization.

122211111202201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42272954484 (or 42272954477 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 122211111202201 its reverse (102202111112221), we get a palindrome (224413222314422).

The spelling of 122211111202201 in words is "one hundred twenty-two trillion, two hundred eleven billion, one hundred eleven million, two hundred two thousand, two hundred one".

Divisors: 1 7 49 59 413 2891 42272954411 295910680877 2071374766139 2494104310249 17458730171743 122211111202201