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2012222002122 = 232330144097681
BaseRepresentation
bin11101010010000001110…
…001110001001111001010
321010100220012200212222100
4131102001301301033022
5230432012313031442
64140222500534230
7265243510544223
oct35220161611712
97110805625870
102012222002122
11706418952992
12285b950b1376
131179a06b79a7
146d56bb7a24a
1537520ea184c
hex1d481c713ca

2012222002122 has 48 divisors (see below), whose sum is σ = 4362692148360. Its totient is φ = 670298112000.

The previous prime is 2012222002103. The next prime is 2012222002123. The reversal of 2012222002122 is 2212002222102.

2012222002122 is a `hidden beast` number, since 201 + 222 + 200 + 21 + 22 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1177591758561 + 834630243561 = 1085169^2 + 913581^2 .

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 = 2012222002095 and 2012222002104.

It is not an unprimeable number, because it can be changed into a prime (2012222002123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 261970122 + ... + 261977802.

Almost surely, 22012222002122 is an apocalyptic number.

2012222002122 is an abundant number, since it is smaller than the sum of its proper divisors (2350470146238).

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

2012222002122 is a wasteful number, since it uses less digits than its factorization.

2012222002122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15399 (or 15396 counting only the distinct ones).

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

Adding to 2012222002122 its reverse (2212002222102), we get a palindrome (4224224224224).

The spelling of 2012222002122 in words is "two trillion, twelve billion, two hundred twenty-two million, two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 3301 4409 6602 7681 8818 9903 13227 15362 19806 23043 26454 29709 39681 46086 59418 69129 79362 138258 14554109 25354981 29108218 33865529 43662327 50709962 67731058 76064943 87324654 101596587 130986981 152129886 203193174 228194829 261973962 304789761 456389658 609579522 111790111229 223580222458 335370333687 670740667374 1006111001061 2012222002122