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200212121200 = 245271317323549
BaseRepresentation
bin1011101001110110010…
…0101000011001110000
3201010210010102120002011
42322131210220121300
511240013300334300
6231550504332304
720315304644110
oct2723544503160
9633703376064
10200212121200
1177a00582a83
1232976774094
1315b5925b690
14999433b040
15531bdc4eba
hex2e9d928670

200212121200 has 240 divisors, whose sum is σ = 626838004800. Its totient is φ = 59636367360.

The previous prime is 200212121189. The next prime is 200212121209. The reversal of 200212121200 is 2121212002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200212121209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 457026 + ... + 780574.

It is an arithmetic number, because the mean of its divisors is an integer number (2611825020).

Almost surely, 2200212121200 is an apocalyptic number.

200212121200 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 200212121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313419002400).

200212121200 is an abundant number, since it is smaller than the sum of its proper divisors (426625883600).

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

200212121200 is a wasteful number, since it uses less digits than its factorization.

200212121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323604 (or 323593 counting only the distinct ones).

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

Adding to 200212121200 its reverse (2121212002), we get a palindrome (202333333202).

The spelling of 200212121200 in words is "two hundred billion, two hundred twelve million, one hundred twenty-one thousand, two hundred".