Search a number
-
+
122110011222221 = 11859108037119617
BaseRepresentation
bin11011110000111011110011…
…110101111010100011001101
3121000100121021122011000021102
4123300323303311322203031
5112001122300333102341
61111412321552112445
734502104624512431
oct3360736365724315
9530317248130242
10122110011222221
11359a9623a2a570
12118418a3835725
135319c035b9bb9
1422222283c49c1
15e1b5656e5c9b
hex6f0ef3d7a8cd

122110011222221 has 16 divisors (see below), whose sum is σ = 133368347474880. Its totient is φ = 110877917230080.

The previous prime is 122110011222211. The next prime is 122110011222247. The reversal of 122110011222221 is 122222110011221.

It is not a de Polignac number, because 122110011222221 - 246 = 51741267044557 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122110011222193 and 122110011222202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122110011222211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1020781805 + ... + 1020901421.

It is an arithmetic number, because the mean of its divisors is an integer number (8335521717180).

Almost surely, 2122110011222221 is an apocalyptic number.

122110011222221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122110011222221 is a deficient number, since it is larger than the sum of its proper divisors (11258336252659).

122110011222221 is a wasteful number, since it uses less digits than its factorization.

122110011222221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228524.

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

Adding to 122110011222221 its reverse (122222110011221), we get a palindrome (244332121233442).

The spelling of 122110011222221 in words is "one hundred twenty-two trillion, one hundred ten billion, eleven million, two hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 11 859 9449 108037 119617 1188407 1315787 92803783 102751003 1020841613 1130261033 12923061829 142153680119 11100910111111 122110011222221