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20021001421200 = 24352133779339613
BaseRepresentation
bin1001000110101100000001…
…01011011000000110010000
32121212222201000100020112120
410203112000223120012100
510111011002330434300
6110325304315254240
74134320036116053
oct443260053300620
977788630306476
1020021001421200
11641994a3a068a
1222b4254a4a380
13b22c842a56a0
144d3043540a9a
1524abd39b43a0
hex123580ad8190

20021001421200 has 240 divisors, whose sum is σ = 69085801350720. Its totient is φ = 4926927882240.

The previous prime is 20021001421181. The next prime is 20021001421231. The reversal of 20021001421200 is 212410012002.

20021001421200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20021001421200.

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, 58782594 + ... + 59122206.

It is an arithmetic number, because the mean of its divisors is an integer number (287857505628).

Almost surely, 220021001421200 is an apocalyptic number.

20021001421200 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 20021001421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34542900675360).

20021001421200 is an abundant number, since it is smaller than the sum of its proper divisors (49064799929520).

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

20021001421200 is a wasteful number, since it uses less digits than its factorization.

20021001421200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343426 (or 343415 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20021001421200 its reverse (212410012002), we get a palindrome (20233411433202).

The spelling of 20021001421200 in words is "twenty trillion, twenty-one billion, one million, four hundred twenty-one thousand, two hundred".