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12045542332401 = 323736172799797
BaseRepresentation
bin1010111101001001001001…
…0001011001011111110001
31120122112122120000022001100
42233102102101121133301
53034323232314114101
641341351252155013
72352155524315554
oct257222221313761
946575576008040
1012045542332401
113924538690246
12142660b908a69
13694b74a88176
142d90162a269b
1515d4eb289e86
hexaf4924597f1

12045542332401 has 12 divisors (see below), whose sum is σ = 17869363100212. Its totient is φ = 7813324755936.

The previous prime is 12045542332367. The next prime is 12045542332493. The reversal of 12045542332401 is 10423324554021.

It is a happy number.

12045542332401 is a `hidden beast` number, since 1 + 2 + 0 + 45 + 542 + 3 + 32 + 40 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9871215138801 + 2174327193600 = 3141849^2 + 1474560^2 .

It is not a de Polignac number, because 12045542332401 - 27 = 12045542332273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12045542332301) 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 11 ways as a sum of consecutive naturals, for example, 18086399566 + ... + 18086400231.

Almost surely, 212045542332401 is an apocalyptic number.

It is an amenable number.

12045542332401 is a deficient number, since it is larger than the sum of its proper divisors (5823820767811).

12045542332401 is a wasteful number, since it uses less digits than its factorization.

12045542332401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36172799840 (or 36172799837 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 12045542332401 its reverse (10423324554021), we get a palindrome (22468866886422).

The spelling of 12045542332401 in words is "twelve trillion, forty-five billion, five hundred forty-two million, three hundred thirty-two thousand, four hundred one".

Divisors: 1 3 9 37 111 333 36172799797 108518399391 325555198173 1338393592489 4015180777467 12045542332401