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20022011120000 = 27541755726431
BaseRepresentation
bin1001000110101101111001…
…10111000100100110000000
32121220002022101021020220102
410203112330313010212000
510111020034321320000
6110325552424501532
74134354046323251
oct443267467044600
977802271236812
1020022011120000
11641a3183392aa
1222b449701a8a8
13b230b552a2b6
144d30db694b28
1524ac4245e3d5
hex1235bcdc4980

20022011120000 has 320 divisors, whose sum is σ = 52872268458240. Its totient is φ = 7523880960000.

The previous prime is 20022011119991. The next prime is 20022011120039. The reversal of 20022011120000 is 2111022002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 757506785 + ... + 757533215.

It is an arithmetic number, because the mean of its divisors is an integer number (165225838932).

Almost surely, 220022011120000 is an apocalyptic number.

20022011120000 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 20022011120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26436134229120).

20022011120000 is an abundant number, since it is smaller than the sum of its proper divisors (32850257338240).

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

20022011120000 is an equidigital number, since it uses as much as digits as its factorization.

20022011120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27039 (or 27012 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20022011120000 its reverse (2111022002), we get a palindrome (20024122142002).

The spelling of 20022011120000 in words is "twenty trillion, twenty-two billion, eleven million, one hundred twenty thousand".