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200212021200 = 243521929302801
BaseRepresentation
bin1011101001110110010…
…0001111111111010000
3201010210010020110220110
42322131210033333100
511240013234134300
6231550502241320
720315304046422
oct2723544177720
9633703213813
10200212021200
1177a00514934
1232976726240
1315b59224cc9
149994312812
15531bda5550
hex2e9d90ffd0

200212021200 has 240 divisors, whose sum is σ = 698382532800. Its totient is φ = 48835584000.

The previous prime is 200212021199. The next prime is 200212021277. The reversal of 200212021200 is 2120212002.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 509800 + ... + 812600.

It is an arithmetic number, because the mean of its divisors is an integer number (2909927220).

Almost surely, 2200212021200 is an apocalyptic number.

200212021200 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 200212021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349191266400).

200212021200 is an abundant number, since it is smaller than the sum of its proper divisors (498170511600).

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

200212021200 is a wasteful number, since it uses less digits than its factorization.

200212021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302870 (or 302859 counting only the distinct ones).

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

Adding to 200212021200 its reverse (2120212002), we get a palindrome (202332233202).

The spelling of 200212021200 in words is "two hundred billion, two hundred twelve million, twenty-one thousand, two hundred".