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12040125064 = 23111916591087
BaseRepresentation
bin10110011011010010…
…11011101010001000
31011002002121201120221
423031221123222020
5144124233000224
65310421355424
7604236242302
oct131551335210
934062551527
1012040125064
115119378190
122400268b74
13119b573276
148230a4972
154a70496e4
hex2cda5ba88

12040125064 has 64 divisors (see below), whose sum is σ = 24816844800. Its totient is φ = 5430868800.

The previous prime is 12040125049. The next prime is 12040125089. The reversal of 12040125064 is 46052104021.

It is a happy number.

12040125064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120401250642 (a number of 21 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 11075929 + ... + 11077015.

It is an arithmetic number, because the mean of its divisors is an integer number (387763200).

Almost surely, 212040125064 is an apocalyptic number.

It is an amenable number.

12040125064 is an abundant number, since it is smaller than the sum of its proper divisors (12776719736).

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

12040125064 is a wasteful number, since it uses less digits than its factorization.

12040125064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 12040125064 its reverse (46052104021), we get a palindrome (58092229085).

The spelling of 12040125064 in words is "twelve billion, forty million, one hundred twenty-five thousand, sixty-four".

Divisors: 1 2 4 8 11 22 44 88 191 382 659 764 1087 1318 1528 2101 2174 2636 4202 4348 5272 7249 8404 8696 11957 14498 16808 23914 28996 47828 57992 95656 125869 207617 251738 415234 503476 716333 830468 1006952 1384559 1432666 1660936 2283787 2769118 2865332 4567574 5538236 5730664 7879663 9135148 11076472 15759326 18270296 31518652 63037304 136819603 273639206 547278412 1094556824 1505015633 3010031266 6020062532 12040125064