Search a number
-
+
201212220000 = 2535411304867
BaseRepresentation
bin1011101101100100101…
…1101101001001100000
3201020100211021211201110
42323121023231021200
511244040312020000
6232234032103320
720352140436051
oct2733113551140
9636324254643
10201212220000
1178374064010
1232bb5694b40
1315c8850180c
149a4b0b2728
155379ac5850
hex2ed92ed260

201212220000 has 240 divisors, whose sum is σ = 720020169792. Its totient is φ = 48778560000.

The previous prime is 201212219983. The next prime is 201212220019. The reversal of 201212220000 is 22212102.

201212220000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 507567 + ... + 812433.

Almost surely, 2201212220000 is an apocalyptic number.

201212220000 is a gapful number since it is divisible by the number (20) 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 201212220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360010084896).

201212220000 is an abundant number, since it is smaller than the sum of its proper divisors (518807949792).

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

201212220000 is a wasteful number, since it uses less digits than its factorization.

201212220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304911 (or 304888 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 201212220000 its reverse (22212102), we get a palindrome (201234432102).

The spelling of 201212220000 in words is "two hundred one billion, two hundred twelve million, two hundred twenty thousand".