Search a number
-
+
212021001200 = 2452172310912437
BaseRepresentation
bin1100010101110101101…
…1111011101111110000
3202021021002220211002002
43011131123323233300
511433204334014300
6241222345513132
721214035526511
oct3053533735760
9667232824062
10212021001200
1181a10367338
12351114a27a8
1316cbb927a38
14a394808a08
1557ad9925d5
hex315d6fbbf0

212021001200 has 240 divisors, whose sum is σ = 568002663360. Its totient is φ = 75642716160.

The previous prime is 212021001161. The next prime is 212021001263. The reversal of 212021001200 is 2100120212.

It is a happy number.

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, 17041382 + ... + 17053818.

It is an arithmetic number, because the mean of its divisors is an integer number (2366677764).

Almost surely, 2212021001200 is an apocalyptic number.

212021001200 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 212021001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284001331680).

212021001200 is an abundant number, since it is smaller than the sum of its proper divisors (355981662160).

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

212021001200 is a wasteful number, since it uses less digits than its factorization.

212021001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12604 (or 12593 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 212021001200 its reverse (2100120212), we get a palindrome (214121121412).

The spelling of 212021001200 in words is "two hundred twelve billion, twenty-one million, one thousand, two hundred".