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12122120010020 = 2253089196214309
BaseRepresentation
bin1011000001100110011010…
…1010000011100100100100
31120220212022101102101022112
42300121212222003210210
53042102100210310040
641440454113420152
72360536301662106
oct260314652034444
946825271371275
1012122120010020
113953a647a4919
12143942156a658
1369c159b7c947
142dc9dc6dd576
151604ce092365
hexb0666a83924

12122120010020 has 24 divisors (see below), whose sum is σ = 25464693151800. Its totient is φ = 4847278264832.

The previous prime is 12122120009983. The next prime is 12122120010029. The reversal of 12122120010020 is 2001002122121.

It can be written as a sum of positive squares in 4 ways, for example, as 7585254089956 + 4536865920064 = 2754134^2 + 2129992^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12122120009977 and 12122120010004.

It is not an unprimeable number, because it can be changed into a prime (12122120010029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98045375 + ... + 98168934.

It is an arithmetic number, because the mean of its divisors is an integer number (1061028881325).

Almost surely, 212122120010020 is an apocalyptic number.

12122120010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122120010020 is an abundant number, since it is smaller than the sum of its proper divisors (13342573141780).

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

12122120010020 is a wasteful number, since it uses less digits than its factorization.

12122120010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196217407 (or 196217405 counting only the distinct ones).

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

Adding to 12122120010020 its reverse (2001002122121), we get a palindrome (14123122132141).

The spelling of 12122120010020 in words is "twelve trillion, one hundred twenty-two billion, one hundred twenty million, ten thousand, twenty".

Divisors: 1 2 4 5 10 20 3089 6178 12356 15445 30890 61780 196214309 392428618 784857236 981071545 1962143090 3924286180 606106000501 1212212001002 2424424002004 3030530002505 6061060005010 12122120010020