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12123054525 = 3523110748731
BaseRepresentation
bin10110100101001011…
…10010000110111101
31011021212122222102110
423102211302012331
5144312000221100
65322543044233
7606264156201
oct132245620675
934255588373
1012123054525
11516116a32a
122423ba0679
1311b27bab5a
148300d0b01
154ae47b250
hex2d29721bd

12123054525 has 48 divisors (see below), whose sum is σ = 20883806208. Its totient is φ = 6198456000.

The previous prime is 12123054523. The next prime is 12123054529. The reversal of 12123054525 is 52545032121.

It is not a de Polignac number, because 12123054525 - 21 = 12123054523 is a prime.

It is a super-2 number, since 2×121230545252 (a number of 21 digits) contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 12123054492 and 12123054501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12123054523) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 224410 + ... + 273140.

It is an arithmetic number, because the mean of its divisors is an integer number (435079296).

Almost surely, 212123054525 is an apocalyptic number.

12123054525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12123054525 is a deficient number, since it is larger than the sum of its proper divisors (8760751683).

12123054525 is a wasteful number, since it uses less digits than its factorization.

12123054525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48882 (or 48877 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 12123054525 its reverse (52545032121), we get a palindrome (64668086646).

The spelling of 12123054525 in words is "twelve billion, one hundred twenty-three million, fifty-four thousand, five hundred twenty-five".

Divisors: 1 3 5 15 25 31 75 93 107 155 321 465 535 775 1605 2325 2675 3317 8025 9951 16585 48731 49755 82925 146193 243655 248775 730965 1218275 1510661 3654825 4531983 5214217 7553305 15642651 22659915 26071085 37766525 78213255 113299575 130355425 161640727 391066275 484922181 808203635 2424610905 4041018175 12123054525