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20020101221120 = 2857111334944771
BaseRepresentation
bin1001000110101010010110…
…00001011000101100000000
32121212220101021110100011212
410203111023001120230000
510111002131403033440
6110325035121025252
74134255525415040
oct443251301305400
977786337410155
1020020101221120
116419528241a80
1222b4043485228
13b22b6c93bc10
144d2d99b71720
1524ab7e948465
hex12354b058b00

20020101221120 has 576 divisors, whose sum is σ = 64572255820800. Its totient is φ = 5743396454400.

The previous prime is 20020101221063. The next prime is 20020101221129. The reversal of 20020101221120 is 2112210102002.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 20020101221095 and 20020101221104.

It is not an unprimeable number, because it can be changed into a prime (20020101221129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 447144335 + ... + 447189105.

It is an arithmetic number, because the mean of its divisors is an integer number (112104610800).

Almost surely, 220020101221120 is an apocalyptic number.

20020101221120 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 20020101221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32286127910400).

20020101221120 is an abundant number, since it is smaller than the sum of its proper divisors (44552154599680).

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

20020101221120 is a wasteful number, since it uses less digits than its factorization.

20020101221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45172 (or 45158 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20020101221120 its reverse (2112210102002), we get a palindrome (22132311323122).

The spelling of 20020101221120 in words is "twenty trillion, twenty billion, one hundred one million, two hundred twenty-one thousand, one hundred twenty".