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12126131460 = 2233522455799
BaseRepresentation
bin10110100101100011…
…00001010100000100
31011022002110022012000
423102301201110010
5144313242201320
65323133025300
7606332262642
oct132261412404
934262408160
1012126131460
115162981053
122425025230
1311b3327521
14830692192
154ae887c90
hex2d2c61504

12126131460 has 48 divisors (see below), whose sum is σ = 37725744000. Its totient is φ = 3233634912.

The previous prime is 12126131453. The next prime is 12126131477. The reversal of 12126131460 is 6413162121.

It is a happy number.

12126131460 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 613 + 1 + 46 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11227360 + ... + 11228439.

It is an arithmetic number, because the mean of its divisors is an integer number (785953000).

Almost surely, 212126131460 is an apocalyptic number.

12126131460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12126131460 is an abundant number, since it is smaller than the sum of its proper divisors (25599612540).

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

12126131460 is a wasteful number, since it uses less digits than its factorization.

12126131460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22455817 (or 22455809 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 12126131460 its reverse (6413162121), we get a palindrome (18539293581).

The spelling of 12126131460 in words is "twelve billion, one hundred twenty-six million, one hundred thirty-one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 22455799 44911598 67367397 89823196 112278995 134734794 202102191 224557990 269469588 336836985 404204382 449115980 606306573 673673970 808408764 1010510955 1212613146 1347347940 2021021910 2425226292 3031532865 4042043820 6063065730 12126131460