Search a number
-
+
122110002211221 = 3237366696703337
BaseRepresentation
bin11011110000111011110011…
…010011100010100110010101
3121000100121021000012012111200
4123300323303103202212111
5112001122241031224341
61111412321031023113
734502104455102333
oct3360736323424625
9530317230165450
10122110002211221
11359a9619935462
12118418a080aa99
135319c0178354b
14222222711ab53
15e1b564a15db6
hex6f0ef34e2995

122110002211221 has 12 divisors (see below), whose sum is σ = 181148171448972. Its totient is φ = 79206487920576.

The previous prime is 122110002211201. The next prime is 122110002211247. The reversal of 122110002211221 is 122112200011221.

122110002211221 is a `hidden beast` number, since 1 + 221 + 1 + 0 + 0 + 0 + 221 + 1 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51225153980625 + 70884848230596 = 7157175^2 + 8419314^2 .

It is not a de Polignac number, because 122110002211221 - 29 = 122110002210709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122110002211194 and 122110002211203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122110002211201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183348351336 + ... + 183348352001.

It is an arithmetic number, because the mean of its divisors is an integer number (15095680954081).

Almost surely, 2122110002211221 is an apocalyptic number.

It is an amenable number.

122110002211221 is a deficient number, since it is larger than the sum of its proper divisors (59038169237751).

122110002211221 is a wasteful number, since it uses less digits than its factorization.

122110002211221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366696703380 (or 366696703377 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122110002211221 its reverse (122112200011221), we get a palindrome (244222202222442).

The spelling of 122110002211221 in words is "one hundred twenty-two trillion, one hundred ten billion, two million, two hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 9 37 111 333 366696703337 1100090110011 3300270330033 13567778023469 40703334070407 122110002211221