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12023542131201 = 321335949125689
BaseRepresentation
bin1010111011110111001011…
…1101010010101000000001
31120120102212022202021120200
42232331302331102220001
53033443203241144301
641323312231355413
72350446403561356
oct256756275225001
946512768667520
1012023542131201
113916179097487
1214222abb22b69
13692a79b95733
142d7d2a4ac62d
1515cb5eb1bc86
hexaef72f52a01

12023542131201 has 6 divisors (see below), whose sum is σ = 17367338633970. Its totient is φ = 8015694754128.

The previous prime is 12023542131197. The next prime is 12023542131239. The reversal of 12023542131201 is 10213124532021.

It is a happy number.

12023542131201 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 3 + 5 + 421 + 31 + 201 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12006058680576 + 17483450625 = 3464976^2 + 132225^2 .

It is not a de Polignac number, because 12023542131201 - 22 = 12023542131197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12023542135201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 667974562836 + ... + 667974562853.

It is an arithmetic number, because the mean of its divisors is an integer number (2894556438995).

Almost surely, 212023542131201 is an apocalyptic number.

It is an amenable number.

12023542131201 is a deficient number, since it is larger than the sum of its proper divisors (5343796502769).

12023542131201 is a wasteful number, since it uses less digits than its factorization.

12023542131201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335949125695 (or 1335949125692 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 12023542131201 its reverse (10213124532021), we get a palindrome (22236666663222).

The spelling of 12023542131201 in words is "twelve trillion, twenty-three billion, five hundred forty-two million, one hundred thirty-one thousand, two hundred one".

Divisors: 1 3 9 1335949125689 4007847377067 12023542131201