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122002111222211 = 112322031391315733
BaseRepresentation
bin11011101111010111010100…
…100000000101000111000011
3120222222021202220021002022202
4123233113110200011013003
5111442340310433102321
61111250555100423415
734461235022606063
oct3357272440050703
9528867686232282
10122002111222211
1135967894218540
12118249b0247b6b
13530c9991aab4c
14221ad1008b3a3
15e1884cb6570b
hex6ef5d48051c3

122002111222211 has 32 divisors (see below), whose sum is σ = 138961733386752. Its totient is φ = 106026274632960.

The previous prime is 122002111222177. The next prime is 122002111222217. The reversal of 122002111222211 is 112222111200221.

It is a de Polignac number, because none of the positive numbers 2k-122002111222211 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122002111222217) 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 31 ways as a sum of consecutive naturals, for example, 7754527901 + ... + 7754543633.

It is an arithmetic number, because the mean of its divisors is an integer number (4342554168336).

Almost surely, 2122002111222211 is an apocalyptic number.

122002111222211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122002111222211 is a deficient number, since it is larger than the sum of its proper divisors (16959622164541).

122002111222211 is a wasteful number, since it uses less digits than its factorization.

122002111222211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31883.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 122002111222211 its reverse (112222111200221), we get a palindrome (234224222422432).

The spelling of 122002111222211 in words is "one hundred twenty-two trillion, two billion, one hundred eleven million, two hundred twenty-two thousand, two hundred eleven".

Divisors: 1 11 23 253 2203 13913 15733 24233 50669 153043 173063 319999 361859 557359 3519989 3980449 30650339 34659799 218893229 337153729 381257789 704957797 797175377 2407825519 5034544267 7754535767 8768929147 55379986937 482221783487 5304439618357 11091101020201 122002111222211