Search a number
-
+
122210222000212 = 2295332059344701
BaseRepresentation
bin11011110010011001001000…
…110111101100100001010100
3121000201011221111101222120101
4123302121020313230201110
5112004243013313001322
61111530333444543444
734512253141205143
oct3362311067544124
9530634844358511
10122210222000212
1135a3807833a255
12118591b00b1b84
1353264b3988638
14222701343175a
15e1de7d1b8327
hex6f2648dec854

122210222000212 has 12 divisors (see below), whose sum is σ = 214092303919956. Its totient is φ = 61040992308800.

The previous prime is 122210222000183. The next prime is 122210222000213. The reversal of 122210222000212 is 212000222012221.

It can be written as a sum of positive squares in 2 ways, for example, as 100386693107856 + 21823528892356 = 10019316^2 + 4671566^2 .

It is a super-3 number, since 3×1222102220002123 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 122210222000212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122210222000213) 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 3 ways as a sum of consecutive naturals, for example, 16029668539 + ... + 16029676162.

It is an arithmetic number, because the mean of its divisors is an integer number (17841025326663).

Almost surely, 2122210222000212 is an apocalyptic number.

It is an amenable number.

122210222000212 is a deficient number, since it is larger than the sum of its proper divisors (91882081919744).

122210222000212 is a wasteful number, since it uses less digits than its factorization.

122210222000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32059345658 (or 32059345656 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 122210222000212 its reverse (212000222012221), we get a palindrome (334210444012433).

The spelling of 122210222000212 in words is "one hundred twenty-two trillion, two hundred ten billion, two hundred twenty-two million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 953 1906 3812 32059344701 64118689402 128237378804 30552555500053 61105111000106 122210222000212