Search a number
-
+
12212211222200 = 23521129311615479
BaseRepresentation
bin1011000110110110000010…
…0000110000011010111000
31121020110211222221011000202
42301231200200300122320
53100041102033102300
641550113513021332
72400205656440303
oct261554040603270
947213758834022
1012212211222200
113989195954a80
1214529849b4848
136a77b6859812
14303107781b3a
15162a03439ad5
hexb1b608306b8

12212211222200 has 192 divisors, whose sum is σ = 32145781824000. Its totient is φ = 4273879232000.

The previous prime is 12212211222193. The next prime is 12212211222217. The reversal of 12212211222200 is 222211221221.

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

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, 19534061 + ... + 20149539.

It is an arithmetic number, because the mean of its divisors is an integer number (167425947000).

Almost surely, 212212211222200 is an apocalyptic number.

12212211222200 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 12212211222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16072890912000).

12212211222200 is an abundant number, since it is smaller than the sum of its proper divisors (19933570601800).

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

12212211222200 is a wasteful number, since it uses less digits than its factorization.

12212211222200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615846 (or 615837 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 12212211222200 its reverse (222211221221), we get a palindrome (12434422443421).

The spelling of 12212211222200 in words is "twelve trillion, two hundred twelve billion, two hundred eleven million, two hundred twenty-two thousand, two hundred".