Search a number
-
+
12022122120 = 2335100184351
BaseRepresentation
bin10110011001001001…
…10000011010001000
31011000211202002012020
423030210300122020
5144110130401440
65304535444440
7603630231501
oct131444603210
934024662166
1012022122120
11510a1a1318
1223b6226720
13119790bb38
14820939ba8
154a56903d0
hex2cc930688

12022122120 has 32 divisors (see below), whose sum is σ = 36066366720. Its totient is φ = 3205899200.

The previous prime is 12022122113. The next prime is 12022122127. The reversal of 12022122120 is 2122122021.

It is an interprime number because it is at equal distance from previous prime (12022122113) and next prime (12022122127).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12022122120.

It is not an unprimeable number, because it can be changed into a prime (12022122127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50092056 + ... + 50092295.

It is an arithmetic number, because the mean of its divisors is an integer number (1127073960).

Almost surely, 212022122120 is an apocalyptic number.

12022122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12022122120 is an abundant number, since it is smaller than the sum of its proper divisors (24044244600).

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

12022122120 is a wasteful number, since it uses less digits than its factorization.

12022122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100184365 (or 100184361 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12022122120 its reverse (2122122021), we get a palindrome (14144244141).

Subtracting from 12022122120 its reverse (2122122021), we obtain a palindrome (9900000099).

The spelling of 12022122120 in words is "twelve billion, twenty-two million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 100184351 200368702 300553053 400737404 500921755 601106106 801474808 1001843510 1202212212 1502765265 2003687020 2404424424 3005530530 4007374040 6011061060 12022122120