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12020202012221 = 1331329091015501
BaseRepresentation
bin1010111011101010101111…
…0111101111111000111101
31120120010020112201122201022
42232322223313233320331
53033414333203342341
641322000553153525
72350300545204224
oct256725367577075
946503215648638
1012020202012221
113914814740677
1214217193bb8a5
13692666ba7680
142d7ad0a4bcbb
1515ca16791e4b
hexaeeabdefe3d

12020202012221 has 16 divisors (see below), whose sum is σ = 12990667164720. Its totient is φ = 11056309056000.

The previous prime is 12020202012151. The next prime is 12020202012223. The reversal of 12020202012221 is 12221020202021.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6144835321 + 12014057176900 = 78389^2 + 3466130^2 .

It is a de Polignac number, because none of the positive numbers 2k-12020202012221 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12020202012221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12020202012223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11328971 + ... + 12344471.

It is an arithmetic number, because the mean of its divisors is an integer number (811916697795).

Almost surely, 212020202012221 is an apocalyptic number.

It is an amenable number.

12020202012221 is a deficient number, since it is larger than the sum of its proper divisors (970465152499).

12020202012221 is a wasteful number, since it uses less digits than its factorization.

12020202012221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018736.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 12020202012221 its reverse (12221020202021), we get a palindrome (24241222214242).

The spelling of 12020202012221 in words is "twelve trillion, twenty billion, two hundred two million, twelve thousand, two hundred twenty-one".

Divisors: 1 13 313 2909 4069 37817 910517 1015501 11836721 13201513 317851813 2954092409 4132073569 38403201317 924630924017 12020202012221