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20022010002120 = 2335744354199929
BaseRepresentation
bin1001000110101101111001…
…10010110011101011001000
32121220002022022011110110110
410203112330302303223020
510111020034030031440
6110325552344514320
74134354033656160
oct443267462635310
977802268143413
1020022010002120
11641a317745435
1222b449677b9a0
13b230b5228529
144d30db4835a0
1524ac422dd080
hex1235bccb3ac8

20022010002120 has 256 divisors, whose sum is σ = 68821477632000. Its totient is φ = 4564826413056.

The previous prime is 20022010002073. The next prime is 20022010002139. The reversal of 20022010002120 is 2120001022002.

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

It is a junction number, because it is equal to n+sod(n) for n = 20022010002096 and 20022010002105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2016513316 + ... + 2016523244.

It is an arithmetic number, because the mean of its divisors is an integer number (268833897000).

Almost surely, 220022010002120 is an apocalyptic number.

20022010002120 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 20022010002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34410738816000).

20022010002120 is an abundant number, since it is smaller than the sum of its proper divisors (48799467629880).

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

20022010002120 is a wasteful number, since it uses less digits than its factorization.

20022010002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15812 (or 15808 counting only the distinct ones).

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

Adding to 20022010002120 its reverse (2120001022002), we get a palindrome (22142011024122).

The spelling of 20022010002120 in words is "twenty trillion, twenty-two billion, ten million, two thousand, one hundred twenty".