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12145130232732 = 2232727196971753
BaseRepresentation
bin1011000010111100001000…
…1011000101101110011100
31121000001201000012210211100
42300233002023011232130
53042441211314421412
641455221254353100
72362312435436400
oct260570213055634
947001630183740
1012145130232732
1139627a2436802
12144198365b790
136a13860aab43
142ddb826cd100
15160dc9220edc
hexb0bc22c5b9c

12145130232732 has 108 divisors (see below), whose sum is σ = 36215459135856. Its totient is φ = 3421163410560.

The previous prime is 12145130232731. The next prime is 12145130232737. The reversal of 12145130232732 is 23723203154121.

12145130232732 is a `hidden beast` number, since 1 + 21 + 4 + 5 + 1 + 302 + 327 + 3 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12145130232731) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48360633 + ... + 48611120.

It is an arithmetic number, because the mean of its divisors is an integer number (335328325332).

Almost surely, 212145130232732 is an apocalyptic number.

12145130232732 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12145130232732 is an abundant number, since it is smaller than the sum of its proper divisors (24070328903124).

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

12145130232732 is a wasteful number, since it uses less digits than its factorization.

12145130232732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96971848 (or 96971836 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 12145130232732 its reverse (23723203154121), we get a palindrome (35868333386853).

The spelling of 12145130232732 in words is "twelve trillion, one hundred forty-five billion, one hundred thirty million, two hundred thirty-two thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 71 84 98 126 142 147 196 213 252 284 294 426 441 497 588 639 852 882 994 1278 1491 1764 1988 2556 2982 3479 4473 5964 6958 8946 10437 13916 17892 20874 31311 41748 62622 125244 96971753 193943506 290915259 387887012 581830518 678802271 872745777 1163661036 1357604542 1745491554 2036406813 2715209084 3490983108 4072813626 4751615897 6109220439 6884994463 8145627252 9503231794 12218440878 13769988926 14254847691 19006463588 20654983389 24436881756 27539977852 28509695382 41309966778 42764543073 48194961241 57019390764 61964950167 82619933556 85529086146 96389922482 123929900334 144584883723 171058172292 192779844964 247859800668 289169767446 337364728687 433754651169 578339534892 674729457374 867509302338 1012094186061 1349458914748 1735018604676 2024188372122 3036282558183 4048376744244 6072565116366 12145130232732