Search a number
-
+
12020101222200 = 23352371075060243
BaseRepresentation
bin1010111011101010010111…
…0111010000111100111000
31120120002222112001222210120
42232322211313100330320
53033414131403102300
641321542553013240
72350265212411611
oct256724567207470
946502875058716
1012020101222200
11391477285a635
1214216ab6b4220
1369264c0483c6
142d7ac14d2c08
1515ca0c9d33a0
hexaeea5dd0f38

12020101222200 has 192 divisors, whose sum is σ = 38627068959360. Its totient is φ = 3089581355520.

The previous prime is 12020101222187. The next prime is 12020101222211. The reversal of 12020101222200 is 222210102021.

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 12020101222200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154722 + ... + 4905521.

It is an arithmetic number, because the mean of its divisors is an integer number (201182650830).

Almost surely, 212020101222200 is an apocalyptic number.

12020101222200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12020101222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19313534479680).

12020101222200 is an abundant number, since it is smaller than the sum of its proper divisors (26606967737160).

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

12020101222200 is a wasteful number, since it uses less digits than its factorization.

12020101222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5060406 (or 5060397 counting only the distinct ones).

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

Adding to 12020101222200 its reverse (222210102021), we get a palindrome (12242311324221).

The spelling of 12020101222200 in words is "twelve trillion, twenty billion, one hundred one million, two hundred twenty-two thousand, two hundred".