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20021220022122 = 23311247296322003
BaseRepresentation
bin1001000110101100011011…
…01101010001011101101010
32121220000021020200022122000
410203112031231101131222
510111011424311201442
6110325342124511430
74134325332154404
oct443261555213552
977800236608560
1020021220022122
116419a51828800
1222b42b60ab576
13b22cba673347
144d30645a5b74
1524abe7c94d4c
hex12358db5176a

20021220022122 has 192 divisors, whose sum is σ = 49963627284480. Its totient is φ = 5935676677920.

The previous prime is 20021220022117. The next prime is 20021220022129. The reversal of 20021220022122 is 22122002212002.

20021220022122 is a `hidden beast` number, since 200 + 2 + 1 + 220 + 0 + 221 + 22 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20021220022095 and 20021220022104.

It is not an unprimeable number, because it can be changed into a prime (20021220022129) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 909920373 + ... + 909942375.

It is an arithmetic number, because the mean of its divisors is an integer number (260227225440).

Almost surely, 220021220022122 is an apocalyptic number.

20021220022122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20021220022122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24981813642240).

20021220022122 is an abundant number, since it is smaller than the sum of its proper divisors (29942407262358).

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

20021220022122 is a wasteful number, since it uses less digits than its factorization.

20021220022122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25046 (or 25029 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20021220022122 its reverse (22122002212002), we get a palindrome (42143222234124).

The spelling of 20021220022122 in words is "twenty trillion, twenty-one billion, two hundred twenty million, twenty-two thousand, one hundred twenty-two".