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20021122122012 = 223311109259359627
BaseRepresentation
bin1001000110101100001111…
…10111110100000100011100
32121220000000102110110221000
410203112013313310010130
510111011224230401022
6110325324310310300
74134323033056344
oct443260767640434
977800012413830
1020021122122012
116419a01540a20
1222b4289358390
13b22ca32b659b
144d305559dd24
1524abde3a76ac
hex123587df411c

20021122122012 has 192 divisors, whose sum is σ = 57167891827200. Its totient is φ = 6008927016960.

The previous prime is 20021122121989. The next prime is 20021122122041. The reversal of 20021122122012 is 21022122112002.

It is a happy number.

20021122122012 is a `hidden beast` number, since 2 + 0 + 0 + 211 + 221 + 220 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 335742943 + ... + 335802569.

It is an arithmetic number, because the mean of its divisors is an integer number (297749436600).

Almost surely, 220021122122012 is an apocalyptic number.

20021122122012 is a gapful number since it is divisible by the number (22) 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 20021122122012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28583945913600).

20021122122012 is an abundant number, since it is smaller than the sum of its proper divisors (37146769705188).

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

20021122122012 is a wasteful number, since it uses less digits than its factorization.

20021122122012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62353 (or 62345 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20021122122012 its reverse (21022122112002), we get a palindrome (41043244234014).

The spelling of 20021122122012 in words is "twenty trillion, twenty-one billion, one hundred twenty-two million, one hundred twenty-two thousand, twelve".