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200022121200 = 2435211132111471
BaseRepresentation
bin1011101001001000111…
…1110101101011110000
3201010021212220120002010
42322102033311223300
511234121130334300
6231520000122520
720310506656206
oct2722217655360
9633255816063
10200022121200
1177913300190
1232923006440
1315b28a95c45
149976ddd076
15530a393a50
hex2e923f5af0

200022121200 has 240 divisors, whose sum is σ = 699576509952. Its totient is φ = 48449280000.

The previous prime is 200022121139. The next prime is 200022121207. The reversal of 200022121200 is 2121220002.

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 not an unprimeable number, because it can be changed into a prime (200022121207) 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, 17431465 + ... + 17442935.

Almost surely, 2200022121200 is an apocalyptic number.

200022121200 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 200022121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349788254976).

200022121200 is an abundant number, since it is smaller than the sum of its proper divisors (499554388752).

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

200022121200 is a wasteful number, since it uses less digits than its factorization.

200022121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12824 (or 12813 counting only the distinct ones).

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

Adding to 200022121200 its reverse (2121220002), we get a palindrome (202143341202).

The spelling of 200022121200 in words is "two hundred billion, twenty-two million, one hundred twenty-one thousand, two hundred".