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20001201220000 = 255473111320389
BaseRepresentation
bin1001000110000111001000…
…11111100110100110100000
32121211002121002202210201101
410203003210133212212200
510110144430003020000
6110312231444244144
74133016261151000
oct443034437464640
977732532683641
1020001201220000
116411509727440
1222b04499a0654
13b2114a1145c0
144d20c59c8000
1524a425562e6a
hex1230e47e69a0

20001201220000 has 960 divisors, whose sum is σ = 67418344224000. Its totient is φ = 5754309120000.

The previous prime is 20001201219919. The next prime is 20001201220081. The reversal of 20001201220000 is 2210210002.

It is an interprime number because it is at equal distance from previous prime (20001201219919) and next prime (20001201220081).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 980969806 + ... + 980990194.

It is an arithmetic number, because the mean of its divisors is an integer number (70227441900).

Almost surely, 220001201220000 is an apocalyptic number.

20001201220000 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 20001201220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33709172112000).

20001201220000 is an abundant number, since it is smaller than the sum of its proper divisors (47417143004000).

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

20001201220000 is a wasteful number, since it uses less digits than its factorization.

20001201220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20464 (or 20427 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20001201220000 its reverse (2210210002), we get a palindrome (20003411430002).

The spelling of 20001201220000 in words is "twenty trillion, one billion, two hundred one million, two hundred twenty thousand".