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20021000221200 = 243521159107240257
BaseRepresentation
bin1001000110101100000001…
…00110110011001000010000
32121212222200221002021110010
410203112000212303020100
510111011002024034300
6110325304233434520
74134320022660366
oct443260046631020
977788627067403
1020021000221200
116419949751050
1222b425456ba40
13b22c83c75424
144d304330b636
1524abd3828a50
hex1235809b3210

20021000221200 has 480 divisors, whose sum is σ = 71815384235520. Its totient is φ = 4726700441600.

The previous prime is 20021000221199. The next prime is 20021000221207. The reversal of 20021000221200 is 212200012002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (20021000221207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83211472 + ... + 83451728.

It is an arithmetic number, because the mean of its divisors is an integer number (149615383824).

Almost surely, 220021000221200 is an apocalyptic number.

20021000221200 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 20021000221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35907692117760).

20021000221200 is an abundant number, since it is smaller than the sum of its proper divisors (51794384014320).

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

20021000221200 is a wasteful number, since it uses less digits than its factorization.

20021000221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240455 (or 240444 counting only the distinct ones).

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

Adding to 20021000221200 its reverse (212200012002), we get a palindrome (20233200233202).

The spelling of 20021000221200 in words is "twenty trillion, twenty-one billion, two hundred twenty-one thousand, two hundred".