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12126131456 = 28291633369
BaseRepresentation
bin10110100101100011…
…00001010100000000
31011022002110022011212
423102301201110000
5144313242201311
65323133025252
7606332262635
oct132261412400
934262408155
1012126131456
11516298104a
122425025228
1311b332751a
1483069218c
154ae887c8b
hex2d2c61500

12126131456 has 36 divisors (see below), whose sum is σ = 25039562100. Its totient is φ = 5853990912.

The previous prime is 12126131453. The next prime is 12126131477. The reversal of 12126131456 is 65413162121.

It can be written as a sum of positive squares in 2 ways, for example, as 9837465856 + 2288665600 = 99184^2 + 47840^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12126131453) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 809261 + ... + 824108.

Almost surely, 212126131456 is an apocalyptic number.

12126131456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12126131456 is an abundant number, since it is smaller than the sum of its proper divisors (12913430644).

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

12126131456 is an equidigital number, since it uses as much as digits as its factorization.

12126131456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633414 (or 1633400 counting only the distinct ones).

The product of its digits is 8640, while the sum is 32.

Adding to 12126131456 its reverse (65413162121), we get a palindrome (77539293577).

The spelling of 12126131456 in words is "twelve billion, one hundred twenty-six million, one hundred thirty-one thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 928 1856 3712 7424 1633369 3266738 6533476 13066952 26133904 47367701 52267808 94735402 104535616 189470804 209071232 378941608 418142464 757883216 1515766432 3031532864 6063065728 12126131456