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12122121201021 = 3213103607873513
BaseRepresentation
bin1011000001100110011010…
…1110100110010101111101
31120220212022110122220001200
42300121212232212111331
53042102101011413041
641440454155130113
72360536315052316
oct260314656462575
946825273586050
1012122121201021
113953a65438717
121439421a43939
1369c15a1a8a90
142dc9dc92d60d
151604ce22a1b6
hexb0666ba657d

12122121201021 has 12 divisors (see below), whose sum is σ = 18856632979548. Its totient is φ = 7459766892864.

The previous prime is 12122121201013. The next prime is 12122121201041. The reversal of 12122121201021 is 12010212122121.

It can be written as a sum of positive squares in 2 ways, for example, as 1481405436900 + 10640715764121 = 1217130^2 + 3262011^2 .

It is not a de Polignac number, because 12122121201021 - 23 = 12122121201013 is a prime.

It is a super-2 number, since 2×121221212010212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12122121200985 and 12122121201003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122121201011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51803936640 + ... + 51803936873.

It is an arithmetic number, because the mean of its divisors is an integer number (1571386081629).

Almost surely, 212122121201021 is an apocalyptic number.

It is an amenable number.

12122121201021 is a deficient number, since it is larger than the sum of its proper divisors (6734511778527).

12122121201021 is a wasteful number, since it uses less digits than its factorization.

12122121201021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103607873532 (or 103607873529 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12122121201021 its reverse (12010212122121), we get a palindrome (24132333323142).

The spelling of 12122121201021 in words is "twelve trillion, one hundred twenty-two billion, one hundred twenty-one million, two hundred one thousand, twenty-one".

Divisors: 1 3 9 13 39 117 103607873513 310823620539 932470861617 1346902355669 4040707067007 12122121201021