Search a number
-
+
122122000121112 = 23326772505375023
BaseRepresentation
bin11011110001000110111110…
…011011111011110100011000
3121000101202020011101011202200
4123301012332123323310120
5112001321324012333422
61111422023343530200
734503011002462425
oct3361067633736430
9530352204334680
10122122000121112
1135a03716399772
121184408a8b9960
13531b094365904
142222a44752d4c
15e1ba17ec22ac
hex6f11be6fbd18

122122000121112 has 48 divisors (see below), whose sum is σ = 331235631923040. Its totient is φ = 40647204356928.

The previous prime is 122122000121111. The next prime is 122122000121113. The reversal of 122122000121112 is 211121000221221.

122122000121112 is a `hidden beast` number, since 1 + 221 + 220 + 0 + 0 + 1 + 211 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (122122000121111) and next prime (122122000121113).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122122000121111) 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, 1252638768 + ... + 1252736255.

It is an arithmetic number, because the mean of its divisors is an integer number (6900742331730).

Almost surely, 2122122000121112 is an apocalyptic number.

122122000121112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122122000121112 is an abundant number, since it is smaller than the sum of its proper divisors (209113631801928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122122000121112 is a wasteful number, since it uses less digits than its factorization.

122122000121112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2505375712 (or 2505375705 counting only the distinct ones).

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

Adding to 122122000121112 its reverse (211121000221221), we get a palindrome (333243000342333).

The spelling of 122122000121112 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 677 1354 2031 2708 4062 5416 6093 8124 12186 16248 24372 48744 2505375023 5010750046 7516125069 10021500092 15032250138 20043000184 22548375207 30064500276 45096750414 60129000552 90193500828 180387001656 1696138890571 3392277781142 5088416671713 6784555562284 10176833343426 13569111124568 15265250015139 20353666686852 30530500030278 40707333373704 61061000060556 122122000121112