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20021002201200 = 243527111337450473
BaseRepresentation
bin1001000110101100000001…
…01110010110100001110000
32121212222201001210212111110
410203112000232112201300
510111011003030414300
6110325304344113320
74134320045545110
oct443260056264160
977788631725443
1020021002201200
11641994a883710
1222b4255165840
13b22c844b9720
144d30436a5040
1524abd3aba550
hex123580b96870

20021002201200 has 960 divisors, whose sum is σ = 88437401644032. Its totient is φ = 3736394956800.

The previous prime is 20021002201171. The next prime is 20021002201223. The reversal of 20021002201200 is 210220012002.

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 191 ways as a sum of consecutive naturals, for example, 44219164 + ... + 44669636.

Almost surely, 220021002201200 is an apocalyptic number.

20021002201200 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 20021002201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44218700822016).

20021002201200 is an abundant number, since it is smaller than the sum of its proper divisors (68416399442832).

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

20021002201200 is a wasteful number, since it uses less digits than its factorization.

20021002201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450562 (or 450551 counting only the distinct ones).

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

Adding to 20021002201200 its reverse (210220012002), we get a palindrome (20231222213202).

It can be divided in two parts, 20021002 and 201200, that added together give a palindrome (20222202).

The spelling of 20021002201200 in words is "twenty trillion, twenty-one billion, two million, two hundred one thousand, two hundred".