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20012122020000 = 2535411191595863
BaseRepresentation
bin1001000110011011011110…
…11011001001100010100000
32121212010210012011220222110
410203031233123021202200
510110334311214120000
6110321235243035320
74133554016342025
oct443155733114240
977763705156873
1020012122020000
116416103190090
1222b259720bb40
13b2219a7cba36
144d284015d54c
1524a8641aa850
hex12336f6c98a0

20012122020000 has 480 divisors, whose sum is σ = 75380444536320. Its totient is φ = 4596082560000.

The previous prime is 20012122019971. The next prime is 20012122020031. The reversal of 20012122020000 is 2022121002.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11742069 + ... + 13337931.

It is an arithmetic number, because the mean of its divisors is an integer number (157042592784).

Almost surely, 220012122020000 is an apocalyptic number.

20012122020000 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 20012122020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37690222268160).

20012122020000 is an abundant number, since it is smaller than the sum of its proper divisors (55368322516320).

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

20012122020000 is a wasteful number, since it uses less digits than its factorization.

20012122020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595926 (or 1595903 counting only the distinct ones).

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

Adding to 20012122020000 its reverse (2022121002), we get a palindrome (20014144141002).

The spelling of 20012122020000 in words is "twenty trillion, twelve billion, one hundred twenty-two million, twenty thousand".