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12532400000001 = 337109608339401
BaseRepresentation
bin1011011001011110110101…
…0000000000110000000001
31122101002022111121100111000
42312113231100000300001
53120312323400000001
642353145521442213
72432302361234310
oct266275520006001
948332274540430
1012532400000001
113aa1a63098902
1214a4a434a0369
136cba531bb39b
143147ddcaa277
1516aee3203a86
hexb65ed400c01

12532400000001 has 32 divisors (see below), whose sum is σ = 21413546950400. Its totient is φ = 7095670761600.

The previous prime is 12532399999969. The next prime is 12532400000137. The reversal of 12532400000001 is 10000000423521.

It is not a de Polignac number, because 12532400000001 - 25 = 12532399999969 is a prime.

It is a super-2 number, since 2×125324000000012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12532400000001.

It is not an unprimeable number, because it can be changed into a prime (12532400000401) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 304149100 + ... + 304190301.

It is an arithmetic number, because the mean of its divisors is an integer number (669173342200).

Almost surely, 212532400000001 is an apocalyptic number.

It is an amenable number.

12532400000001 is a deficient number, since it is larger than the sum of its proper divisors (8881146950399).

12532400000001 is a wasteful number, since it uses less digits than its factorization.

12532400000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608339526 (or 608339520 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 12532400000001 its reverse (10000000423521), we get a palindrome (22532400423522).

The spelling of 12532400000001 in words is "twelve trillion, five hundred thirty-two billion, four hundred million, one", and thus it is an aban number.

Divisors: 1 3 7 9 21 27 63 109 189 327 763 981 2289 2943 6867 20601 608339401 1825018203 4258375807 5475054609 12775127421 16425163827 38325382263 66308994709 114976146789 198926984127 464162962963 596780952381 1392488888889 1790342857143 4177466666667 12532400000001