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122222222222221 = 1122394649909091
BaseRepresentation
bin11011110010100100010100…
…001000111010001110001101
3121000202022220210221102110101
4123302210110020322032031
5112004442102342102341
61111540040323211101
734513156414335142
oct3362442410721615
9530668823842411
10122222222222221
1135a42176132700
121185b59ab16a91
135327676b9a214
1422278310aa3c9
15e1e43197e831
hex6f291423a38d

122222222222221 has 24 divisors (see below), whose sum is σ = 134934707376000. Its totient is φ = 110622289377600.

The previous prime is 122222222222173. The next prime is 122222222222227.

122222222222221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 122222222222221 - 223 = 122222213833613 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 122222222222221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122222222222227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133989886 + ... + 134898976.

It is an arithmetic number, because the mean of its divisors is an integer number (5622279474000).

Almost surely, 2122222222222221 is an apocalyptic number.

122222222222221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122222222222221 is a deficient number, since it is larger than the sum of its proper divisors (12712485153779).

122222222222221 is a wasteful number, since it uses less digits than its factorization.

122222222222221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914001 (or 913990 counting only the distinct ones).

The product of its digits is 8192, while the sum is 28.

It can be divided in two parts, 1 and 22222222222221, that added together give a palindrome (22222222222222).

The spelling of 122222222222221 in words is "one hundred twenty-two trillion, two hundred twenty-two billion, two hundred twenty-two million, two hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 11 121 239 2629 4649 28919 51139 562529 909091 1111111 10000001 12222221 110000011 134444431 217272749 2390000239 4226364059 26290002629 46490004649 511390051139 1010101010101 11111111111111 122222222222221