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12201032122434 = 232677835117913
BaseRepresentation
bin1011000110001100011000…
…1011111000000001000010
31121012101222220111001002200
42301203012023320001002
53044400203210404214
641541024330054030
72366331643605561
oct261430613700102
947171886431080
1012201032122434
113984479609951
121450784b7a316
136a67247b4c9c
14302766badbd8
1516259bcbdd09
hexb18c62f8042

12201032122434 has 12 divisors (see below), whose sum is σ = 26435569598646. Its totient is φ = 4067010707472.

The previous prime is 12201032122427. The next prime is 12201032122441. The reversal of 12201032122434 is 43422123010221.

12201032122434 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 10 + 3 + 212 + 2 + 434 = 666.

It is an interprime number because it is at equal distance from previous prime (12201032122427) and next prime (12201032122441).

It can be written as a sum of positive squares in only one way, i.e., 8479470274209 + 3721561848225 = 2911953^2 + 1929135^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12201032122398 and 12201032122407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 338917558939 + ... + 338917558974.

Almost surely, 212201032122434 is an apocalyptic number.

12201032122434 is an abundant number, since it is smaller than the sum of its proper divisors (14234537476212).

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

12201032122434 is a wasteful number, since it uses less digits than its factorization.

12201032122434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677835117921 (or 677835117918 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 12201032122434 its reverse (43422123010221), we get a palindrome (55623155132655).

The spelling of 12201032122434 in words is "twelve trillion, two hundred one billion, thirty-two million, one hundred twenty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 677835117913 1355670235826 2033505353739 4067010707478 6100516061217 12201032122434