Search a number
-
+
12122200120000 = 2654679074987
BaseRepresentation
bin1011000001100110101101…
…1011101001101011000000
31120220212111222011101112211
42300121223123221223000
53042102231212320000
641440510054431504
72360541263623645
oct260315333515300
946825458141484
1012122200120000
113953aa5a40713
121439444362594
1369c17064b0b9
142dca091d3dcc
151604d61187ba
hexb066b6e9ac0

12122200120000 has 280 divisors, whose sum is σ = 30547520214464. Its totient is φ = 4770285696000.

The previous prime is 12122200119871. The next prime is 12122200120007. The reversal of 12122200120000 is 2100222121.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12122200120007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2430757507 + ... + 2430762493.

Almost surely, 212122200120000 is an apocalyptic number.

12122200120000 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 12122200120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15273760107232).

12122200120000 is an abundant number, since it is smaller than the sum of its proper divisors (18425320094464).

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

12122200120000 is an frugal number, since it uses more digits than its factorization.

12122200120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5993 (or 5968 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12122200120000 its reverse (2100222121), we get a palindrome (12124300342121).

The spelling of 12122200120000 in words is "twelve trillion, one hundred twenty-two billion, two hundred million, one hundred twenty thousand".