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12135351312504 = 2332724078078001
BaseRepresentation
bin1011000010010111101101…
…0011011110000001111000
31120222010110111110012010200
42300211323103132001320
53042311144414000004
641450523050242200
72361515214126030
oct260457323360170
946863414405120
1012135351312504
1139596344a2252
12143bab4726360
136a0488148704
142dd4d5a788c0
15160a05983239
hexb097b4de078

12135351312504 has 48 divisors (see below), whose sum is σ = 37561801683120. Its totient is φ = 3467243232000.

The previous prime is 12135351312499. The next prime is 12135351312547. The reversal of 12135351312504 is 40521315353121.

It is a happy number.

12135351312504 is a `hidden beast` number, since 1 + 2 + 1 + 353 + 51 + 3 + 1 + 250 + 4 = 666.

12135351312504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12039038497 + ... + 12039039504.

It is an arithmetic number, because the mean of its divisors is an integer number (782537535065).

Almost surely, 212135351312504 is an apocalyptic number.

12135351312504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12135351312504 is an abundant number, since it is smaller than the sum of its proper divisors (25426450370616).

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

12135351312504 is a wasteful number, since it uses less digits than its factorization.

12135351312504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24078078020 (or 24078078013 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 12135351312504 its reverse (40521315353121), we get a palindrome (52656666665625).

The spelling of 12135351312504 in words is "twelve trillion, one hundred thirty-five billion, three hundred fifty-one million, three hundred twelve thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 24078078001 48156156002 72234234003 96312312004 144468468006 168546546007 192624624008 216702702009 288936936012 337093092014 433405404018 505639638021 577873872024 674186184028 866810808036 1011279276042 1348372368056 1516918914063 1733621616072 2022558552084 3033837828126 4045117104168 6067675656252 12135351312504