Search a number
-
+
12021123212120 = 23511233745716127
BaseRepresentation
bin1010111011101110001011…
…0001110110001101011000
31120120012121202010110102002
42232323202301312031120
53033423230020241440
641322232221500132
72350332432240221
oct256734261661530
946505552113362
1012021123212120
113915147732800
121421935a11648
136927829b4679
142d7b7b126248
1515ca6c5aa115
hexaeee2c76358

12021123212120 has 192 divisors, whose sum is σ = 29885246576640. Its totient is φ = 4348539740160.

The previous prime is 12021123212089. The next prime is 12021123212191. The reversal of 12021123212120 is 2121232112021.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12021123212092 and 12021123212101.

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, 745395497 + ... + 745411623.

It is an arithmetic number, because the mean of its divisors is an integer number (155652325920).

Almost surely, 212021123212120 is an apocalyptic number.

12021123212120 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 12021123212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14942623288320).

12021123212120 is an abundant number, since it is smaller than the sum of its proper divisors (17864123364520).

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

12021123212120 is a wasteful number, since it uses less digits than its factorization.

12021123212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16954 (or 16939 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 12021123212120 its reverse (2121232112021), we get a palindrome (14142355324141).

The spelling of 12021123212120 in words is "twelve trillion, twenty-one billion, one hundred twenty-three million, two hundred twelve thousand, one hundred twenty".