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20220210201200 = 24523137103427883
BaseRepresentation
bin1001001100011111000100…
…11100100100001001110000
32122121000220012210210020112
410212033202130210021300
510122241442302414300
6111001011503000452
74154601441605162
oct446174234441160
978530805723215
1020220210201200
116496385578559
12232698b599128
13b389b06c7139
144dc940500932
15250e92747e35
hex1263e2724270

20220210201200 has 240 divisors, whose sum is σ = 52001557211136. Its totient is φ = 7541676979200.

The previous prime is 20220210201199. The next prime is 20220210201251. The reversal of 20220210201200 is 210201202202.

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 47 ways as a sum of consecutive naturals, for example, 47042459 + ... + 47470341.

Almost surely, 220220210201200 is an apocalyptic number.

20220210201200 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 20220210201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26000778605568).

20220210201200 is an abundant number, since it is smaller than the sum of its proper divisors (31781347009936).

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

20220210201200 is a wasteful number, since it uses less digits than its factorization.

20220210201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428072 (or 428061 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20220210201200 its reverse (210201202202), we get a palindrome (20430411403402).

The spelling of 20220210201200 in words is "twenty trillion, two hundred twenty billion, two hundred ten million, two hundred one thousand, two hundred".